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20138160 = 2435711987
BaseRepresentation
bin100110011010…
…0100010110000
31101220010100210
41030310202300
520123410120
61555344120
7333112560
oct114644260
941803323
1020138160
1110405109
1268b2040
134231293
142962da0
151b7bce0
hex13348b0

20138160 has 80 divisors (see below), whose sum is σ = 71352576. Its totient is φ = 4602624.

The previous prime is 20138159. The next prime is 20138171. The reversal of 20138160 is 6183102.

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 (21).

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, 4314 + ... + 7673.

Almost surely, 220138160 is an apocalyptic number.

20138160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20138160 is an abundant number, since it is smaller than the sum of its proper divisors (51214416).

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

20138160 is a wasteful number, since it uses less digits than its factorization.

20138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20138160 is about 4487.5561277827. The cubic root of 20138160 is about 272.0653677957.

The spelling of 20138160 in words is "twenty million, one hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 11987 23974 35961 47948 59935 71922 83909 95896 119870 143844 167818 179805 191792 239740 251727 287688 335636 359610 419545 479480 503454 575376 671272 719220 839090 958960 1006908 1258635 1342544 1438440 1678180 2013816 2517270 2876880 3356360 4027632 5034540 6712720 10069080 20138160