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130657992 = 23329347541
BaseRepresentation
bin1111100100110…
…10111011001000
3100002212010001220
413302122323020
5231422023432
620544242040
73144401043
oct762327310
9302763056
10130657992
1167831313
1237910320
13210b912a
14134d1c5a
15b70d72c
hex7c9aec8

130657992 has 64 divisors (see below), whose sum is σ = 339508800. Its totient is φ = 41852160.

The previous prime is 130657949. The next prime is 130657993. The reversal of 130657992 is 299756031.

130657992 = T233 + T234 + ... + T926.

It is not an unprimeable number, because it can be changed into a prime (130657993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241242 + ... + 241782.

It is an arithmetic number, because the mean of its divisors is an integer number (5304825).

Almost surely, 2130657992 is an apocalyptic number.

130657992 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 130657992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169754400).

130657992 is an abundant number, since it is smaller than the sum of its proper divisors (208850808).

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

130657992 is a wasteful number, since it uses less digits than its factorization.

130657992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 130657992 is about 11430.5726890651. The cubic root of 130657992 is about 507.4329444597.

The spelling of 130657992 in words is "one hundred thirty million, six hundred fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 347 348 541 694 696 1041 1082 1388 1623 2082 2164 2776 3246 4164 4328 6492 8328 10063 12984 15689 20126 30189 31378 40252 47067 60378 62756 80504 94134 120756 125512 187727 188268 241512 375454 376536 563181 750908 1126362 1501816 2252724 4505448 5444083 10888166 16332249 21776332 32664498 43552664 65328996 130657992