Saturday, July 2, 2016

Number of the day: 146549

Properties of the number 146549:

146549 = 13 × 11273 is semiprime and squarefree.
146549 has 2 distinct prime factors, 4 divisors, 17 antidivisors and 135264 totatives.
146549 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 146549 results in an emirpimes.
146549 = 732752 - 732742 = 56432 - 56302 is the difference of 2 nonnegative squares in 2 ways.
146549 is the sum of 2 positive triangular numbers.
146549 is the difference of 2 positive pentagonal numbers in 2 ways.
146549 = 1702 + 3432 = 252 + 3822 is the sum of 2 positive squares in 2 ways.
146549 = 522 + 632 + 3742 is the sum of 3 positive squares.
1465492 = 735152 + 1267762 = 191002 + 1452992 = 887492 + 1166202 = 563652 + 1352762 is the sum of 2 positive squares in 4 ways.
1465492 is the sum of 3 positive squares.
146549 is a divisor of 1311409 - 1.
146549 = '1465' + '49' is the concatenation of 2 semiprime numbers.
146549 is an emirpimes in (at least) the following bases: 4, 5, 10, 11, 13, 16, 17, 21, 22, 27, 29, 31, 33, 36, 39, 42, 44, 48, 52, 56, 58, 61, 64, 65, 69, 77, 79, 82, 83, 85, 88, 89, 92, 97, 99, and 100.
146549 is palindromic in (at least) base -72.

The number 146549 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A031618: Numbers n such that continued fraction for sqrt(n) has odd period and central terms 30.

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