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14316960 = 253574261
BaseRepresentation
bin110110100111…
…010110100000
3222221101011210
4312213112200
512131120320
61230510120
7232456260
oct66472640
928841153
1014316960
1180995a9
124965340
132c73798
141c897a0
1513cc0e0
hexda75a0

14316960 has 96 divisors (see below), whose sum is σ = 51553152. Its totient is φ = 3271680.

The previous prime is 14316959. The next prime is 14316989. The reversal of 14316960 is 6961341.

14316960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1230 + ... + 5490.

It is an arithmetic number, because the mean of its divisors is an integer number (537012).

Almost surely, 214316960 is an apocalyptic number.

14316960 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 14316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25776576).

14316960 is an abundant number, since it is smaller than the sum of its proper divisors (37236192).

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

14316960 is a wasteful number, since it uses less digits than its factorization.

14316960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 14316960 is about 3783.7758918837. The cubic root of 14316960 is about 242.8195242440.

The spelling of 14316960 in words is "fourteen million, three hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 4261 8522 12783 17044 21305 25566 29827 34088 42610 51132 59654 63915 68176 85220 89481 102264 119308 127830 136352 149135 170440 178962 204528 238616 255660 298270 340880 357924 409056 447405 477232 511320 596540 681760 715848 894810 954464 1022640 1193080 1431696 1789620 2045280 2386160 2863392 3579240 4772320 7158480 14316960