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81138132 = 22331939541
BaseRepresentation
bin1001101011000…
…01000111010100
312122200020121000
410311201013110
5131232410012
612015023300
72003443215
oct465410724
9178606530
1081138132
1141889309
122320ab30
1313a6b43a
14aac140c
1571caddc
hex4d611d4

81138132 has 48 divisors (see below), whose sum is σ = 221435200. Its totient is φ = 25621920.

The previous prime is 81138131. The next prime is 81138133. The reversal of 81138132 is 23183118.

It is an interprime number because it is at equal distance from previous prime (81138131) and next prime (81138133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 81138096 and 81138105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81138131) 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, 17719 + ... + 21822.

Almost surely, 281138132 is an apocalyptic number.

It is an amenable number.

81138132 is an abundant number, since it is smaller than the sum of its proper divisors (140297068).

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

81138132 is a wasteful number, since it uses less digits than its factorization.

81138132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39573 (or 39565 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 81138132 is about 9007.6707311047. The cubic root of 81138132 is about 432.9206830414.

The spelling of 81138132 in words is "eighty-one million, one hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 39541 79082 118623 158164 237246 355869 474492 711738 751279 1067607 1423476 1502558 2135214 2253837 3005116 4270428 4507674 6761511 9015348 13523022 20284533 27046044 40569066 81138132