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130271264 = 2523263673
BaseRepresentation
bin1111100001111…
…00100000100000
3100002010110120122
413300330200200
5231322140024
620532055412
73141200414
oct760744040
9302113518
10130271264
1167597802
1237764568
1320cb20b6
1413430d44
15b683d5e
hex7c3c820

130271264 has 48 divisors (see below), whose sum is σ = 269039232. Its totient is φ = 61974528.

The previous prime is 130271257. The next prime is 130271279. The reversal of 130271264 is 462172031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193232 + ... + 193904.

It is an arithmetic number, because the mean of its divisors is an integer number (5604984).

Almost surely, 2130271264 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 130271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134519616).

130271264 is an abundant number, since it is smaller than the sum of its proper divisors (138767968).

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

130271264 is a wasteful number, since it uses less digits than its factorization.

130271264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 130271264 is about 11413.6437652487. The cubic root of 130271264 is about 506.9318079788.

The spelling of 130271264 in words is "one hundred thirty million, two hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 263 368 526 673 736 1052 1346 2104 2692 4208 5384 6049 8416 10768 12098 15479 21536 24196 30958 48392 61916 96784 123832 176999 193568 247664 353998 495328 707996 1415992 2831984 4070977 5663968 8141954 16283908 32567816 65135632 130271264