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13922160 = 243578287
BaseRepresentation
bin110101000110…
…111101110000
3222012022121120
4311012331300
512031002120
61214222240
7226223250
oct65067560
928168546
1013922160
117949a1a
1247b4980
132b65b85
141bc5960
151350140
hexd46f70

13922160 has 80 divisors (see below), whose sum is σ = 49330176. Its totient is φ = 3181824.

The previous prime is 13922159. The next prime is 13922173. The reversal of 13922160 is 6122931.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13922160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2464 + ... + 5823.

Almost surely, 213922160 is an apocalyptic number.

13922160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13922160 is an abundant number, since it is smaller than the sum of its proper divisors (35408016).

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

13922160 is a wasteful number, since it uses less digits than its factorization.

13922160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 13922160 is about 3731.2410803913. The cubic root of 13922160 is about 240.5667163049.

The spelling of 13922160 in words is "thirteen million, nine hundred twenty-two 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 8287 16574 24861 33148 41435 49722 58009 66296 82870 99444 116018 124305 132592 165740 174027 198888 232036 248610 290045 331480 348054 397776 464072 497220 580090 662960 696108 870135 928144 994440 1160180 1392216 1740270 1988880 2320360 2784432 3480540 4640720 6961080 13922160