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131053296 = 24311475281
BaseRepresentation
bin1111100111110…
…11011011110000
3100010121012022210
413303323123300
5232022201141
621000532120
73150635403
oct763733360
9303535283
10131053296
1167a81310
1237a81040
13211c703a
1413595d3a
15b78a916
hex7cfb6f0

131053296 has 80 divisors (see below), whose sum is σ = 377261568. Its totient is φ = 38860800.

The previous prime is 131053277. The next prime is 131053319. The reversal of 131053296 is 692350131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22176 + ... + 27456.

Almost surely, 2131053296 is an apocalyptic number.

131053296 is a gapful number since it is divisible by the number (16) 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 131053296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188630784).

131053296 is an abundant number, since it is smaller than the sum of its proper divisors (246208272).

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

131053296 is a wasteful number, since it uses less digits than its factorization.

131053296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 131053296 is about 11447.8511520722. The cubic root of 131053296 is about 507.9441730868.

The spelling of 131053296 in words is "one hundred thirty-one million, fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 3102 4136 5281 6204 8272 10562 12408 15843 21124 24816 31686 42248 58091 63372 84496 116182 126744 174273 232364 248207 253488 348546 464728 496414 697092 744621 929456 992828 1394184 1489242 1985656 2730277 2788368 2978484 3971312 5460554 5956968 8190831 10921108 11913936 16381662 21842216 32763324 43684432 65526648 131053296