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81310956 = 22319503709
BaseRepresentation
bin1001101100010…
…11010011101100
312200000000122220
410312023103230
5131303422311
612022435340
72005063116
oct466132354
9180000586
1081310956
1141997141
1223292b50
1313acbcbc
14ab283b6
157212206
hex4d8b4ec

81310956 has 48 divisors (see below), whose sum is σ = 200390400. Its totient is φ = 25589952.

The previous prime is 81310951. The next prime is 81310961. The reversal of 81310956 is 65901318.

It is an interprime number because it is at equal distance from previous prime (81310951) and next prime (81310961).

It is a super-2 number, since 2×813109562 = 13222943131267872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81310951) 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, 114330 + ... + 115038.

It is an arithmetic number, because the mean of its divisors is an integer number (4174800).

Almost surely, 281310956 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 81310956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100195200).

81310956 is an abundant number, since it is smaller than the sum of its proper divisors (119079444).

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

81310956 is a wasteful number, since it uses less digits than its factorization.

81310956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 81310956 is about 9017.2587852407. The cubic root of 81310956 is about 433.2278383562.

The spelling of 81310956 in words is "eighty-one million, three hundred ten thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 503 709 1006 1418 1509 2012 2127 2836 3018 4254 6036 8508 9557 13471 19114 26942 28671 38228 40413 53884 57342 80826 114684 161652 356627 713254 1069881 1426508 2139762 4279524 6775913 13551826 20327739 27103652 40655478 81310956