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131915004 = 223133112719
BaseRepresentation
bin1111101110011…
…01110011111100
3100012012222100220
413313031303330
5232232240004
621031221340
73161154564
oct767156374
9305188326
10131915004
116850a771
1238217850
1321439320
141373bda4
15b8aadd9
hex7dcdcfc

131915004 has 48 divisors (see below), whose sum is σ = 332666880. Its totient is φ = 40443840.

The previous prime is 131914949. The next prime is 131915023. The reversal of 131915004 is 400519131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47157 + ... + 49875.

It is an arithmetic number, because the mean of its divisors is an integer number (6930560).

Almost surely, 2131915004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131915004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166333440).

131915004 is an abundant number, since it is smaller than the sum of its proper divisors (200751876).

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

131915004 is a wasteful number, since it uses less digits than its factorization.

131915004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 131915004 is about 11485.4257213218. The cubic root of 131915004 is about 509.0550283192.

The spelling of 131915004 in words is "one hundred thirty-one million, nine hundred fifteen thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 311 622 933 1244 1866 2719 3732 4043 5438 8086 8157 10876 12129 16172 16314 24258 32628 35347 48516 70694 106041 141388 212082 424164 845609 1691218 2536827 3382436 5073654 10147308 10992917 21985834 32978751 43971668 65957502 131915004