Tuesday, February 20, 2018

Number of the day: 99128

Properties of the number 99128:

99128 = 23 × 12391 is the 89611th composite number and is not squarefree.
99128 has 2 distinct prime factors, 8 divisors, 7 antidivisors and 49560 totatives.
99128 has a prime digit sum 29 in base 10.
Reversing the decimal digits of 99128 results in a semiprime.
99128 = 43 + 123 + 463 is the sum of 3 positive cubes in 1 way.
99128 = 247832 - 247812 = 123932 - 123892 is the difference of 2 nonnegative squares in 2 ways.
99128 is the sum of 2 positive triangular numbers.
99128 = 182 + 522 + 3102 is the sum of 3 positive squares.
991282 is the sum of 3 positive squares.
99128 is a proper divisor of 121370 - 1.
99128 in base 26 = 5ggg and consists of only the digits '5' and 'g'.
99128 in base 59 = SS8 and consists of only the digits '8' and 'S'.

The number 99128 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A058493: McKay-Thompson series of class 12e for Monster.
A112149: McKay-Thompson series of class 12f for the Monster group.
A252189: Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7

No comments:

Post a Comment