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130985664 = 2633159373
BaseRepresentation
bin1111100111010…
…10111011000000
3100010110202112220
413303222323000
5232013020124
620555251040
73150234255
oct763527300
9303422486
10130985664
1167a35517
1237a49a80
13211a2314
141357942c
15b775879
hex7ceaec0

130985664 has 112 divisors (see below), whose sum is σ = 364784640. Its totient is φ = 41425920.

The previous prime is 130985651. The next prime is 130985671. The reversal of 130985664 is 466589031.

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, 350982 + ... + 351354.

Almost surely, 2130985664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182392320).

130985664 is an abundant number, since it is smaller than the sum of its proper divisors (233798976).

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

130985664 is a wasteful number, since it uses less digits than its factorization.

130985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 130985664 is about 11444.8968540568. The cubic root of 130985664 is about 507.8567806733.

The spelling of 130985664 in words is "one hundred thirty million, nine hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 59 62 64 93 96 118 124 177 186 192 236 248 354 372 373 472 496 708 744 746 944 992 1119 1416 1488 1492 1829 1888 1984 2238 2832 2976 2984 3658 3776 4476 5487 5664 5952 5968 7316 8952 10974 11328 11563 11936 14632 17904 21948 22007 23126 23872 29264 34689 35808 43896 44014 46252 58528 66021 69378 71616 87792 88028 92504 117056 132042 138756 175584 176056 185008 264084 277512 351168 352112 370016 528168 555024 682217 704224 740032 1056336 1110048 1364434 1408448 2046651 2112672 2220096 2728868 4093302 4225344 5457736 8186604 10915472 16373208 21830944 32746416 43661888 65492832 130985664