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130525344 = 2534371361
BaseRepresentation
bin1111100011110…
…10100010100000
3100002121101010000
413301322202200
5231403302334
620541340000
73143306235
oct761724240
9302541100
10130525344
1167750694
1237867600
1321070941
141349978c
15b6d4299
hex7c7a8a0

130525344 has 120 divisors (see below), whose sum is σ = 394535988. Its totient is φ = 42301440.

The previous prime is 130525327. The next prime is 130525349. The reversal of 130525344 is 443525031.

130525344 is a `hidden beast` number, since 130 + 525 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130233744 + 291600 = 11412^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130525349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95224 + ... + 96584.

Almost surely, 2130525344 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 130525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197267994).

130525344 is an abundant number, since it is smaller than the sum of its proper divisors (264010644).

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

130525344 is a wasteful number, since it uses less digits than its factorization.

130525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 130525344 is about 11424.7688816886. The cubic root of 130525344 is about 507.2611658198.

The spelling of 130525344 in words is "one hundred thirty million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1361 1776 1998 2592 2664 2722 2997 3552 3996 4083 5328 5444 5994 7992 8166 10656 10888 11988 12249 15984 16332 21776 23976 24498 31968 32664 36747 43552 47952 48996 50357 65328 73494 95904 97992 100714 110241 130656 146988 151071 195984 201428 220482 293976 302142 391968 402856 440964 453213 587952 604284 805712 881928 906426 1175904 1208568 1359639 1611424 1763856 1812852 2417136 2719278 3527712 3625704 4078917 4834272 5438556 7251408 8157834 10877112 14502816 16315668 21754224 32631336 43508448 65262672 130525344