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131555004 = 22372229977
BaseRepresentation
bin1111101011101…
…01111010111100
3100011112200112120
413311311322330
5232134230004
621015402540
73155125200
oct765657274
9304480476
10131555004
1168294249
1238083450
13213414c9
1413686b00
15b8393d9
hex7d75ebc

131555004 has 72 divisors (see below), whose sum is σ = 359004240. Its totient is φ = 37384704.

The previous prime is 131555003. The next prime is 131555023. The reversal of 131555004 is 400555131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131555003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 134164 + ... + 135140.

It is an arithmetic number, because the mean of its divisors is an integer number (4986170).

Almost surely, 2131555004 is an apocalyptic number.

131555004 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 131555004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179502120).

131555004 is an abundant number, since it is smaller than the sum of its proper divisors (227449236).

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

131555004 is a wasteful number, since it uses less digits than its factorization.

131555004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 131555004 is about 11469.7429788117. The cubic root of 131555004 is about 508.5915309534.

The spelling of 131555004 in words is "one hundred thirty-one million, five hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 229 294 458 588 687 916 977 1374 1603 1954 2748 2931 3206 3908 4809 5862 6412 6839 9618 11221 11724 13678 19236 20517 22442 27356 33663 41034 44884 47873 67326 82068 95746 134652 143619 191492 223733 287238 447466 574476 671199 894932 1342398 1566131 2684796 3132262 4698393 6264524 9396786 10962917 18793572 21925834 32888751 43851668 65777502 131555004