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89391120 = 24357134093
BaseRepresentation
bin1010101010000…
…00000000010000
320020012112120020
411111000000100
5140341003440
612511543440
72133545340
oct525000020
9206175506
1089391120
1146505965
1225b2ab80
131569aa70
14bc2cd20
157cab3d0
hex5540010

89391120 has 160 divisors (see below), whose sum is σ = 341144832. Its totient is φ = 18855936.

The previous prime is 89391119. The next prime is 89391139. The reversal of 89391120 is 2119398.

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, 19794 + ... + 23886.

Almost surely, 289391120 is an apocalyptic number.

89391120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89391120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170572416).

89391120 is an abundant number, since it is smaller than the sum of its proper divisors (251753712).

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

89391120 is a wasteful number, since it uses less digits than its factorization.

89391120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 89391120 is about 9454.6877262023. The cubic root of 89391120 is about 447.1275804573.

The spelling of 89391120 in words is "eighty-nine million, three hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4093 4368 5460 7280 8186 10920 12279 16372 20465 21840 24558 28651 32744 40930 49116 53209 57302 61395 65488 81860 85953 98232 106418 114604 122790 143255 159627 163720 171906 196464 212836 229208 245580 266045 286510 319254 327440 343812 372463 425672 429765 458416 491160 532090 573020 638508 687624 744926 798135 851344 859530 982320 1064180 1117389 1146040 1277016 1375248 1489852 1596270 1719060 1862315 2128360 2234778 2292080 2554032 2979704 3192540 3438120 3724630 4256720 4469556 5586945 5959408 6385080 6876240 7449260 8939112 11173890 12770160 14898520 17878224 22347780 29797040 44695560 89391120