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81137160 = 23335135779
BaseRepresentation
bin1001101011000…
…00111000001000
312122200012021000
410311200320020
5131232342120
612015015000
72003440326
oct465407010
9178605230
1081137160
1141888605
122320a460
1313a6ab70
14aac0d16
1571ca990
hex4d60e08

81137160 has 128 divisors (see below), whose sum is σ = 291312000. Its totient is φ = 19968768.

The previous prime is 81137159. The next prime is 81137179. The reversal of 81137160 is 6173118.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11151 + ... + 16929.

It is an arithmetic number, because the mean of its divisors is an integer number (2275875).

Almost surely, 281137160 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 81137160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145656000).

81137160 is an abundant number, since it is smaller than the sum of its proper divisors (210174840).

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

81137160 is a wasteful number, since it uses less digits than its factorization.

81137160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 81137160 is about 9007.6167769283. The cubic root of 81137160 is about 432.9189542998.

The spelling of 81137160 in words is "eighty-one million, one hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 5779 7020 11558 14040 17337 23116 28895 34674 46232 52011 57790 69348 75127 86685 104022 115580 138696 150254 156033 173370 208044 225381 231160 260055 300508 312066 346740 375635 416088 450762 520110 601016 624132 676143 693480 751270 780165 901524 1040220 1126905 1248264 1352286 1502540 1560330 1803048 2028429 2080440 2253810 2704572 3005080 3120660 3380715 4056858 4507620 5409144 6241320 6761430 8113716 9015240 10142145 13522860 16227432 20284290 27045720 40568580 81137160