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131752896 = 2631162383
BaseRepresentation
bin1111101101001…
…10001111000000
3100011220201222220
413312212033000
5232212043041
621023531040
73156611142
oct766461700
9304821886
10131752896
11684099a0
1238159a80
13213b05c2
14136d8c92
15b877d66
hex7da63c0

131752896 has 56 divisors (see below), whose sum is σ = 380292864. Its totient is φ = 39924480.

The previous prime is 131752877. The next prime is 131752909. The reversal of 131752896 is 698257131.

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, 29080 + ... + 33303.

It is an arithmetic number, because the mean of its divisors is an integer number (6790944).

Almost surely, 2131752896 is an apocalyptic number.

131752896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131752896 is an abundant number, since it is smaller than the sum of its proper divisors (248539968).

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

131752896 is a wasteful number, since it uses less digits than its factorization.

131752896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62409 (or 62399 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 131752896 is about 11478.3664342972. The cubic root of 131752896 is about 508.8464199569.

The spelling of 131752896 in words is "one hundred thirty-one million, seven hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 62383 124766 187149 249532 374298 499064 686213 748596 998128 1372426 1497192 1996256 2058639 2744852 2994384 3992512 4117278 5489704 5988768 8234556 10979408 11977536 16469112 21958816 32938224 43917632 65876448 131752896