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81138360 = 23351921873
BaseRepresentation
bin1001101011000…
…01001010111000
312122200020220110
410311201022320
5131232411420
612015024320
72003443662
oct465411270
9178606813
1081138360
11418894a6
122320b0a0
1313a6b584
14aac1532
1571caee0
hex4d612b8

81138360 has 96 divisors (see below), whose sum is σ = 257037840. Its totient is φ = 20487168.

The previous prime is 81138347. The next prime is 81138367. The reversal of 81138360 is 6383118.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81138367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42384 + ... + 44256.

Almost surely, 281138360 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 81138360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128518920).

81138360 is an abundant number, since it is smaller than the sum of its proper divisors (175899480).

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

81138360 is a wasteful number, since it uses less digits than its factorization.

81138360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1902 counting only the distinct ones).

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

The square root of 81138360 is about 9007.6833869758. The cubic root of 81138360 is about 432.9210885467.

The spelling of 81138360 in words is "eighty-one million, one hundred thirty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1805 1873 2166 2280 2888 3610 3746 4332 5415 5619 7220 7492 8664 9365 10830 11238 14440 14984 18730 21660 22476 28095 35587 37460 43320 44952 56190 71174 74920 106761 112380 142348 177935 213522 224760 284696 355870 427044 533805 676153 711740 854088 1067610 1352306 1423480 2028459 2135220 2704612 3380765 4056918 4270440 5409224 6761530 8113836 10142295 13523060 16227672 20284590 27046120 40569180 81138360