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13918560 = 2535107271
BaseRepresentation
bin110101000110…
…000101100000
3222012010200020
4311012011200
512030343220
61214153440
7226206615
oct65060540
928163606
1013918560
117947247
1247b2880
132b64346
141bc450c
15134e040
hexd46160

13918560 has 96 divisors (see below), whose sum is σ = 44416512. Its totient is φ = 3663360.

The previous prime is 13918547. The next prime is 13918573. The reversal of 13918560 is 6581931.

It is an interprime number because it is at equal distance from previous prime (13918547) and next prime (13918573).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 51225 + ... + 51495.

It is an arithmetic number, because the mean of its divisors is an integer number (462672).

Almost surely, 213918560 is an apocalyptic number.

13918560 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 13918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256).

13918560 is an abundant number, since it is smaller than the sum of its proper divisors (30497952).

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

13918560 is a wasteful number, since it uses less digits than its factorization.

13918560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 13918560 is about 3730.7586359881. The cubic root of 13918560 is about 240.5459792249.

The spelling of 13918560 in words is "thirteen million, nine hundred eighteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 271 321 428 480 535 542 642 813 856 1070 1084 1284 1355 1605 1626 1712 2140 2168 2568 2710 3210 3252 3424 4065 4280 4336 5136 5420 6420 6504 8130 8560 8672 10272 10840 12840 13008 16260 17120 21680 25680 26016 28997 32520 43360 51360 57994 65040 86991 115988 130080 144985 173982 231976 289970 347964 434955 463952 579940 695928 869910 927904 1159880 1391856 1739820 2319760 2783712 3479640 4639520 6959280 13918560