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13961360 = 2457107233
BaseRepresentation
bin110101010000…
…100010010000
3222021022101102
4311100202100
512033230420
61215123532
7226445450
oct65204220
928238342
1013961360
117976416
1248135a8
132b7a97a
141bd5d60
15135ba75
hexd50890

13961360 has 80 divisors (see below), whose sum is σ = 37604736. Its totient is φ = 4721664.

The previous prime is 13961359. The next prime is 13961399. The reversal of 13961360 is 6316931.

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

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, 59804 + ... + 60036.

Almost surely, 213961360 is an apocalyptic number.

13961360 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 13961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802368).

13961360 is an abundant number, since it is smaller than the sum of its proper divisors (23643376).

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

13961360 is a wasteful number, since it uses less digits than its factorization.

13961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 13961360 is about 3736.4903318489. The cubic root of 13961360 is about 240.7922890214.

The spelling of 13961360 in words is "thirteen million, nine hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 233 280 428 466 535 560 749 856 932 1070 1165 1498 1631 1712 1864 2140 2330 2996 3262 3728 3745 4280 4660 5992 6524 7490 8155 8560 9320 11984 13048 14980 16310 18640 24931 26096 29960 32620 49862 59920 65240 99724 124655 130480 174517 199448 249310 349034 398896 498620 698068 872585 997240 1396136 1745170 1994480 2792272 3490340 6980680 13961360