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18099120 = 2435135801
BaseRepresentation
bin100010100001…
…0101110110000
31021001112022210
41011002232300
514113132440
61443532120
7306561054
oct105025660
937045283
1018099120
11a242156
12608a040
133999150
142591c64
1518c7a80
hex1142bb0

18099120 has 80 divisors (see below), whose sum is σ = 60433632. Its totient is φ = 4454400.

The previous prime is 18099061. The next prime is 18099131. The reversal of 18099120 is 2199081.

18099120 = 932 + 942 + ... + 3802.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220 + ... + 6020.

Almost surely, 218099120 is an apocalyptic number.

18099120 is a gapful number since it is divisible by the number (10) 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 18099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30216816).

18099120 is an abundant number, since it is smaller than the sum of its proper divisors (42334512).

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

18099120 is a wasteful number, since it uses less digits than its factorization.

18099120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 18099120 is about 4254.3060538706. The cubic root of 18099120 is about 262.5543107579.

The spelling of 18099120 in words is "eighteen million, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 5801 11602 17403 23204 29005 34806 46408 58010 69612 75413 87015 92816 116020 139224 150826 174030 226239 232040 278448 301652 348060 377065 452478 464080 603304 696120 754130 904956 1131195 1206608 1392240 1508260 1809912 2262390 3016520 3619824 4524780 6033040 9049560 18099120