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131878404 = 22327274761
BaseRepresentation
bin1111101110001…
…00111000000100
3100012011010011100
413313010320010
5232230102104
621030340100
73160643100
oct767047004
9305133140
10131878404
1168495219
12381ba630
1321425778
141372c900
15b8a0139
hex7dc4e04

131878404 has 54 divisors (see below), whose sum is σ = 387790494. Its totient is φ = 37679040.

The previous prime is 131878349. The next prime is 131878441. The reversal of 131878404 is 404878131.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 30272004 = 10080^2 + 5502^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 35617 + ... + 39144.

Almost surely, 2131878404 is an apocalyptic number.

131878404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131878404 is an abundant number, since it is smaller than the sum of its proper divisors (255912090).

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

131878404 is a wasteful number, since it uses less digits than its factorization.

131878404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74785 (or 74773 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 131878404 is about 11483.8322871766. The cubic root of 131878404 is about 509.0079446243.

The spelling of 131878404 in words is "one hundred thirty-one million, eight hundred seventy-eight thousand, four hundred 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 74761 149522 224283 299044 448566 523327 672849 897132 1046654 1345698 1569981 2093308 2691396 3139962 3663289 4709943 6279924 7326578 9419886 10989867 14653156 18839772 21979734 32969601 43959468 65939202 131878404