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130404645 = 32575373107
BaseRepresentation
bin1111100010111…
…01000100100101
3100002101020112200
413301131010211
5231340422040
620535005113
73142264320
oct761350445
9302336480
10130404645
1167678a38
1237809799
132102aa17
14134677b7
15b6ad630
hex7c5d125

130404645 has 96 divisors (see below), whose sum is σ = 269298432. Its totient is φ = 57148416.

The previous prime is 130404643. The next prime is 130404647. The reversal of 130404645 is 546404031.

130404645 is a `hidden beast` number, since 13 + 0 + 4 + 0 + 4 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (130404643) and next prime (130404647).

It is not a de Polignac number, because 130404645 - 21 = 130404643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130404643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1218682 + ... + 1218788.

It is an arithmetic number, because the mean of its divisors is an integer number (2805192).

Almost surely, 2130404645 is an apocalyptic number.

130404645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130404645 is an abundant number, since it is smaller than the sum of its proper divisors (138893787).

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

130404645 is a wasteful number, since it uses less digits than its factorization.

130404645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130404645 is about 11419.4853211517. The cubic root of 130404645 is about 507.1047599309.

Adding to 130404645 its reverse (546404031), we get a palindrome (676808676).

The spelling of 130404645 in words is "one hundred thirty million, four hundred four thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 73 105 107 159 219 265 315 321 365 371 477 511 535 657 749 795 963 1095 1113 1533 1605 1855 2247 2385 2555 3285 3339 3745 3869 4599 4815 5565 5671 6741 7665 7811 11235 11607 16695 17013 19345 22995 23433 27083 28355 33705 34821 39055 39697 51039 54677 58035 70299 81249 85065 117165 119091 135415 164031 174105 198485 243747 255195 273385 351495 357273 406245 413983 492093 595455 820155 1218735 1241949 1786365 2069915 2460465 2897881 3725847 6209745 8693643 14489405 18629235 26080929 43468215 130404645