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81135936 = 2632720123
BaseRepresentation
bin1001101011000…
…00100101000000
312122200010120200
410311200211000
5131232322221
612015005200
72003433630
oct465404500
9178603520
1081135936
11418876a2
1223209800
1313a6a43b
14aac06c0
1571ca426
hex4d60940

81135936 has 84 divisors (see below), whose sum is σ = 265797792. Its totient is φ = 23180544.

The previous prime is 81135919. The next prime is 81135937. The reversal of 81135936 is 63953118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×811359362 = 13166080221192192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81135936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81135937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6030 + ... + 14093.

Almost surely, 281135936 is an apocalyptic number.

It is an amenable number.

81135936 is an abundant number, since it is smaller than the sum of its proper divisors (184661856).

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

81135936 is a wasteful number, since it uses less digits than its factorization.

81135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20148 (or 20135 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 81135936 is about 9007.5488341724. The cubic root of 81135936 is about 432.9167773464.

The spelling of 81135936 in words is "eighty-one million, one hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 20123 40246 60369 80492 120738 140861 160984 181107 241476 281722 321968 362214 422583 482952 563444 643936 724428 845166 965904 1126888 1267749 1287872 1448856 1690332 1931808 2253776 2535498 2897712 3380664 3863616 4507552 5070996 5795424 6761328 9015104 10141992 11590848 13522656 20283984 27045312 40567968 81135936