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18426120 = 2335971583
BaseRepresentation
bin100011001001…
…0100100001000
31021200010212220
41012102210020
514204113440
61454534040
7312422316
oct106224410
937603786
1018426120
11a4458a9
126207320
133a81c3b
1426390b6
15193e8d0
hex1192908

18426120 has 64 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 4859904.

The previous prime is 18426101. The next prime is 18426127. The reversal of 18426120 is 2162481.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (18426127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10849 + ... + 12431.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 218426120 is an apocalyptic number.

18426120 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 18426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

18426120 is an abundant number, since it is smaller than the sum of its proper divisors (37457400).

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

18426120 is a wasteful number, since it uses less digits than its factorization.

18426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 18426120 is about 4292.5656663585. The cubic root of 18426120 is about 264.1260876124.

The spelling of 18426120 in words is "eighteen million, four hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1583 1940 2328 2910 3166 3880 4749 5820 6332 7915 9498 11640 12664 15830 18996 23745 31660 37992 47490 63320 94980 153551 189960 307102 460653 614204 767755 921306 1228408 1535510 1842612 2303265 3071020 3685224 4606530 6142040 9213060 18426120