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130271136 = 2531779823
BaseRepresentation
bin1111100001111…
…00011110100000
3100002010110101220
413300330132200
5231322134021
620532055040
73141200142
oct760743640
9302113356
10130271136
11675976a6
1237764480
1320cb2018
1413430c92
15b683cc6
hex7c3c7a0

130271136 has 48 divisors (see below), whose sum is σ = 362081664. Its totient is φ = 40868864.

The previous prime is 130271131. The next prime is 130271137. The reversal of 130271136 is 631172031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130271131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38280 + ... + 41543.

It is an arithmetic number, because the mean of its divisors is an integer number (7543368).

Almost surely, 2130271136 is an apocalyptic number.

130271136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130271136 is an abundant number, since it is smaller than the sum of its proper divisors (231810528).

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

130271136 is a wasteful number, since it uses less digits than its factorization.

130271136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79853 (or 79845 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 130271136 is about 11413.6381579232. The cubic root of 130271136 is about 506.9316419476.

The spelling of 130271136 in words is "one hundred thirty million, two hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 79823 159646 239469 319292 478938 638584 957876 1277168 1356991 1915752 2554336 2713982 3831504 4070973 5427964 7663008 8141946 10855928 16283892 21711856 32567784 43423712 65135568 130271136