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81188380 = 225713311439
BaseRepresentation
bin1001101011011…
…01011000011100
312122202210112001
410311231120130
5131241012010
612020052044
72004042550
oct465553034
9178683461
1081188380
1141913039
1223234024
1313a88280
14aad5860
1571dac3a
hex4d6d61c

81188380 has 96 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 24848640.

The previous prime is 81188351. The next prime is 81188383. The reversal of 81188380 is 8388118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81188383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55701 + ... + 57139.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 281188380 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 81188380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

81188380 is an abundant number, since it is smaller than the sum of its proper divisors (135571940).

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

81188380 is a wasteful number, since it uses less digits than its factorization.

81188380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 81188380 is about 9010.4594777403. The cubic root of 81188380 is about 433.0100323561.

The spelling of 81188380 in words is "eighty-one million, one hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1439 1612 1820 2015 2170 2821 2878 4030 4340 5642 5756 7195 8060 10073 11284 14105 14390 18707 20146 28210 28780 37414 40292 44609 50365 56420 74828 89218 93535 100730 130949 178436 187070 201460 223045 261898 312263 374140 446090 523796 579917 624526 654745 892180 1159834 1249052 1309490 1561315 2319668 2618980 2899585 3122630 4059419 5799170 6245260 8118838 11598340 16237676 20297095 40594190 81188380