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130696896 = 26311193257
BaseRepresentation
bin1111100101001…
…00011011000000
3100002221002102210
413302210123000
5231424300041
620545142120
73144622341
oct762443300
9302832383
10130696896
1167858570
123792a940
1321100a55
14135020c8
15b71a016
hex7ca46c0

130696896 has 112 divisors (see below), whose sum is σ = 397215360. Its totient is φ = 37509120.

The previous prime is 130696873. The next prime is 130696897. The reversal of 130696896 is 698696031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (130696897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38500 + ... + 41756.

Almost surely, 2130696896 is an apocalyptic number.

130696896 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 130696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198607680).

130696896 is an abundant number, since it is smaller than the sum of its proper divisors (266518464).

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

130696896 is a wasteful number, since it uses less digits than its factorization.

130696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 130696896 is about 11432.2743144136. The cubic root of 130696896 is about 507.4833029361.

The spelling of 130696896 in words is "one hundred thirty million, six hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3257 3344 3648 5016 6514 6688 9771 10032 13028 13376 19542 20064 26056 35827 39084 40128 52112 61883 71654 78168 104224 107481 123766 143308 156336 185649 208448 214962 247532 286616 312672 371298 429924 495064 573232 625344 680713 742596 859848 990128 1146464 1361426 1485192 1719696 1980256 2042139 2292928 2722852 2970384 3439392 3960512 4084278 5445704 5940768 6878784 8168556 10891408 11881536 16337112 21782816 32674224 43565632 65348448 130696896