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130351464 = 2333412359
BaseRepresentation
bin1111100010100…
…00000101101000
3100002021112121000
413301100011220
5231332221324
620533515000
73141653265
oct761200550
9302245530
10130351464
1167641a91
12377a2a60
132100c759
141345226c
15b69c9c9
hex7c50168

130351464 has 96 divisors (see below), whose sum is σ = 372168000. Its totient is φ = 42272640.

The previous prime is 130351451. The next prime is 130351469. The reversal of 130351464 is 464153031.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130351469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362917 + ... + 363275.

It is an arithmetic number, because the mean of its divisors is an integer number (3876750).

Almost surely, 2130351464 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 130351464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186084000).

130351464 is an abundant number, since it is smaller than the sum of its proper divisors (241816536).

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

130351464 is a wasteful number, since it uses less digits than its factorization.

130351464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130351464 is about 11417.1565636983. The cubic root of 130351464 is about 507.0358155435.

The spelling of 130351464 in words is "one hundred thirty million, three hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 359 369 492 718 738 984 1077 1107 1436 1476 1681 2154 2214 2872 2952 3231 3362 4308 4428 5043 6462 6724 8616 8856 9693 10086 12924 13448 14719 15129 19386 20172 25848 29438 30258 38772 40344 44157 45387 58876 60516 77544 88314 90774 117752 121032 132471 176628 181548 264942 353256 363096 397413 529884 603479 794826 1059768 1206958 1589652 1810437 2413916 3179304 3620874 4827832 5431311 7241748 10862622 14483496 16293933 21725244 32587866 43450488 65175732 130351464