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130894152 = 233173179131
BaseRepresentation
bin1111100110101…
…00100101001000
3100010022010000120
413303110211020
5232002103102
620553303240
73146403414
oct763244510
9303263016
10130894152
1167982794
1237a04b20
132116c77c
1413553d44
15b7586bc
hex7cd4948

130894152 has 128 divisors (see below), whose sum is σ = 364953600. Its totient is φ = 38937600.

The previous prime is 130894147. The next prime is 130894157. The reversal of 130894152 is 251498031.

It is an interprime number because it is at equal distance from previous prime (130894147) and next prime (130894157).

It is a super-3 number, since 3×1308941523 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130894157) 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 31 ways as a sum of consecutive naturals, for example, 999127 + ... + 999257.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2130894152 is an apocalyptic number.

130894152 is a gapful number since it is divisible by the number (12) 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 130894152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

130894152 is an abundant number, since it is smaller than the sum of its proper divisors (234059448).

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

130894152 is a wasteful number, since it uses less digits than its factorization.

130894152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 130894152 is about 11440.8982164863. The cubic root of 130894152 is about 507.7384832057.

The spelling of 130894152 in words is "one hundred thirty million, eight hundred ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 79 93 102 124 131 136 158 186 204 237 248 262 316 372 393 408 474 524 527 632 744 786 948 1048 1054 1343 1572 1581 1896 2108 2227 2449 2686 3144 3162 4029 4061 4216 4454 4898 5372 6324 6681 7347 8058 8122 8908 9796 10349 10744 12183 12648 13362 14694 16116 16244 17816 19592 20698 24366 26724 29388 31047 32232 32488 41396 41633 48732 53448 58776 62094 69037 82792 83266 97464 124188 124899 138074 166532 175933 207111 248376 249798 276148 320819 333064 351866 414222 499596 527799 552296 641638 703732 828444 962457 999192 1055598 1283276 1407464 1656888 1924914 2111196 2566552 3849828 4222392 5453923 7699656 10907846 16361769 21815692 32723538 43631384 65447076 130894152