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130904376 = 23319229521
BaseRepresentation
bin1111100110101…
…11000100111000
3100010022122001020
413303113010320
5232002420001
620553422440
73146445261
oct763270470
9303278036
10130904376
116798a439
1237a0aa20
1321174315
1413557968
15b75b736
hex7cd7138

130904376 has 96 divisors (see below), whose sum is σ = 357987600. Its totient is φ = 39836160.

The previous prime is 130904359. The next prime is 130904377. The reversal of 130904376 is 673409031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130904377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250996 + ... + 251516.

Almost surely, 2130904376 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 130904376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178993800).

130904376 is an abundant number, since it is smaller than the sum of its proper divisors (227083224).

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

130904376 is a wasteful number, since it uses less digits than its factorization.

130904376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 130904376 is about 11441.3450258263. The cubic root of 130904376 is about 507.7517024952.

The spelling of 130904376 in words is "one hundred thirty million, nine hundred four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 361 456 521 551 696 722 1042 1083 1102 1444 1563 1653 2084 2166 2204 2888 3126 3306 4168 4332 4408 6252 6612 8664 9899 10469 12504 13224 15109 19798 20938 29697 30218 31407 39596 41876 45327 59394 60436 62814 79192 83752 90654 118788 120872 125628 181308 188081 237576 251256 287071 362616 376162 564243 574142 752324 861213 1128486 1148284 1504648 1722426 2256972 2296568 3444852 4513944 5454349 6889704 10908698 16363047 21817396 32726094 43634792 65452188 130904376