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130561536 = 293712143
BaseRepresentation
bin1111100100000…
…11011000000000
3100002200012202110
413302003120000
5231410432121
620542215320
73143516610
oct762033000
9302605673
10130561536
11677758a6
1237884540
1321084261
14134a8a40
15b6ded76
hex7c83600

130561536 has 80 divisors (see below), whose sum is σ = 397545984. Its totient is φ = 37300224.

The previous prime is 130561531. The next prime is 130561579. The reversal of 130561536 is 635165031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130561531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4681 + ... + 16823.

Almost surely, 2130561536 is an apocalyptic number.

130561536 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 130561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198772992).

130561536 is an abundant number, since it is smaller than the sum of its proper divisors (266984448).

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

130561536 is an equidigital number, since it uses as much as digits as its factorization.

130561536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12171 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 130561536 is about 11426.3526989149. The cubic root of 130561536 is about 507.3080458585.

The spelling of 130561536 in words is "one hundred thirty million, five hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 12143 24286 36429 48572 72858 85001 97144 145716 170002 194288 255003 291432 340004 388576 510006 582864 680008 777152 1020012 1165728 1360016 1554304 2040024 2331456 2720032 3108608 4080048 4662912 5440064 6217216 8160096 9325824 10880128 16320192 18651648 21760256 32640384 43520512 65280768 130561536