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81130368 = 2731119207
BaseRepresentation
bin1001101010111…
…11001110000000
312122122211221110
410311133032000
5131232132433
612014523320
72003411454
oct465371600
9178584843
1081130368
11418834a0
1223206540
1313a67a47
14aabc664
1571c8963
hex4d5f380

81130368 has 64 divisors (see below), whose sum is σ = 235105920. Its totient is φ = 24583680.

The previous prime is 81130363. The next prime is 81130373. The reversal of 81130368 is 86303118.

It is an interprime number because it is at equal distance from previous prime (81130363) and next prime (81130373).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×811303682 = 13164273223630848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81130363) by changing a digit.

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, 5380 + ... + 13827.

It is an arithmetic number, because the mean of its divisors is an integer number (3673530).

Almost surely, 281130368 is an apocalyptic number.

81130368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

81130368 is an abundant number, since it is smaller than the sum of its proper divisors (153975552).

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

81130368 is a wasteful number, since it uses less digits than its factorization.

81130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19235 (or 19223 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 81130368 is about 9007.2397547750. The cubic root of 81130368 is about 432.9068740660.

The spelling of 81130368 in words is "eighty-one million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 19207 38414 57621 76828 115242 153656 211277 230484 307312 422554 460968 614624 633831 845108 921936 1229248 1267662 1690216 1843872 2458496 2535324 3380432 3687744 5070648 6760864 7375488 10141296 13521728 20282592 27043456 40565184 81130368