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130769968 = 2479712037
BaseRepresentation
bin1111100101101…
…10010000110000
3100010001210200011
413302312100300
5231434114333
620550504304
73145345360
oct762662060
9303053604
10130769968
11678a845a
1237965094
13211280a4
14135209a0
15b7319cd
hex7cb6430

130769968 has 40 divisors (see below), whose sum is σ = 292571552. Its totient is φ = 55461888.

The previous prime is 130769939. The next prime is 130769971. The reversal of 130769968 is 869967031.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4846 + ... + 16882.

Almost surely, 2130769968 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 130769968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146285776).

130769968 is an abundant number, since it is smaller than the sum of its proper divisors (161801584).

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

130769968 is a wasteful number, since it uses less digits than its factorization.

130769968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 130769968 is about 11435.4697323722. The cubic root of 130769968 is about 507.5778624660.

The spelling of 130769968 in words is "one hundred thirty million, seven hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 12037 24074 48148 84259 96296 168518 192592 337036 674072 1167589 1348144 2335178 4670356 8173123 9340712 16346246 18681424 32692492 65384984 130769968