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131261004 = 22327274411
BaseRepresentation
bin1111101001011…
…10001001001100
3100010222202020200
413310232021030
5232100323004
621005213500
73152462100
oct764561114
9303882220
10131261004
1168103376
1237b61290
132126a744
141360b900
15b7cc239
hex7d2e24c

131261004 has 54 divisors (see below), whose sum is σ = 385975044. Its totient is φ = 37502640.

The previous prime is 131261003. The next prime is 131261021. The reversal of 131261004 is 400162131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131261003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35442 + ... + 38969.

It is an arithmetic number, because the mean of its divisors is an integer number (7147686).

Almost surely, 2131261004 is an apocalyptic number.

131261004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131261004 is an abundant number, since it is smaller than the sum of its proper divisors (254714040).

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

131261004 is a wasteful number, since it uses less digits than its factorization.

131261004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74435 (or 74423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131261004 is about 11456.9194812567. The cubic root of 131261004 is about 508.2123804556.

The spelling of 131261004 in words is "one hundred thirty-one million, two hundred sixty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 74411 148822 223233 297644 446466 520877 669699 892932 1041754 1339398 1562631 2083508 2678796 3125262 3646139 4687893 6250524 7292278 9375786 10938417 14584556 18751572 21876834 32815251 43753668 65630502 131261004