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131156704 = 2574114281
BaseRepresentation
bin1111101000101…
…00101011100000
3100010210110011201
413310110223200
5232034003304
621003050544
73151546030
oct764245340
9303713151
10131156704
1168041a78
1237b10a54
1321232123
14135c18c0
15b7ab3a4
hex7d14ae0

131156704 has 48 divisors (see below), whose sum is σ = 302321376. Its totient is φ = 54835200.

The previous prime is 131156687. The next prime is 131156723. The reversal of 131156704 is 407651131.

131156704 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a super-3 number, since 3×1311567043 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2044 + ... + 16324.

It is an arithmetic number, because the mean of its divisors is an integer number (6298362).

Almost surely, 2131156704 is an apocalyptic number.

131156704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131156704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151160688).

131156704 is an abundant number, since it is smaller than the sum of its proper divisors (171164672).

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

131156704 is a wasteful number, since it uses less digits than its factorization.

131156704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 131156704 is about 11452.3667422939. The cubic root of 131156704 is about 508.0777362594.

The spelling of 131156704 in words is "one hundred thirty-one million, one hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 14281 28562 57124 99967 114248 199934 228496 399868 456992 585521 799736 1171042 1599472 2342084 3198944 4098647 4684168 8197294 9368336 16394588 18736672 32789176 65578352 131156704