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131408480 = 2557117329
BaseRepresentation
bin1111101010100…
…10001001100000
3100011021020112202
413311102021200
5232120032410
621012312332
73153645050
oct765221140
9304236482
10131408480
11681a4155
12380126a8
13212bc8c8
1413649560
15b80aca5
hex7d52260

131408480 has 48 divisors (see below), whose sum is σ = 354805920. Its totient is φ = 45053952.

The previous prime is 131408477. The next prime is 131408527. The reversal of 131408480 is 84804131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57545 + ... + 59784.

It is an arithmetic number, because the mean of its divisors is an integer number (7391790).

Almost surely, 2131408480 is an apocalyptic number.

131408480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131408480 is an abundant number, since it is smaller than the sum of its proper divisors (223397440).

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

131408480 is a wasteful number, since it uses less digits than its factorization.

131408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117351 (or 117343 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 131408480 is about 11463.3537849968. The cubic root of 131408480 is about 508.4026402560.

The spelling of 131408480 in words is "one hundred thirty-one million, four hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 117329 234658 469316 586645 821303 938632 1173290 1642606 1877264 2346580 3285212 3754528 4106515 4693160 6570424 8213030 9386320 13140848 16426060 18772640 26281696 32852120 65704240 131408480