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131516484 = 223112343319
BaseRepresentation
bin1111101011011…
…00100001000100
3100011110201200220
413311230201010
5232132011414
621014504340
73154604661
oct765544104
9304421626
10131516484
1168268310
12380650b0
1321329b08
1413676a68
15b82cca9
hex7d6c844

131516484 has 48 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 38119840.

The previous prime is 131516467. The next prime is 131516509. The reversal of 131516484 is 484615131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18624 + ... + 24695.

It is an arithmetic number, because the mean of its divisors is an integer number (7277760).

Almost surely, 2131516484 is an apocalyptic number.

It is an amenable number.

131516484 is an abundant number, since it is smaller than the sum of its proper divisors (217815996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131516484 is a wasteful number, since it uses less digits than its factorization.

131516484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43360 (or 43358 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 131516484 is about 11468.0636552122. The cubic root of 131516484 is about 508.5418866789.

It can be divided in two parts, 131 and 516484, that added together give a palindrome (516615).

The spelling of 131516484 in words is "one hundred thirty-one million, five hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 43319 86638 129957 173276 259914 476509 519828 953018 996337 1429527 1906036 1992674 2859054 2989011 3985348 5718108 5978022 10959707 11956044 21919414 32879121 43838828 65758242 131516484