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14963840 = 275103227
BaseRepresentation
bin111001000101…
…010010000000
31001011020112022
4321011102000
512312320330
61252421012
7241122233
oct71052200
931136468
1014963840
1184a0611
125017768
13313c058
141db741a
1514a8ae5
hexe45480

14963840 has 64 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 5901312.

The previous prime is 14963833. The next prime is 14963881. The reversal of 14963840 is 4836941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 14963840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65807 + ... + 66033.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 214963840 is an apocalyptic number.

14963840 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 14963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

14963840 is an abundant number, since it is smaller than the sum of its proper divisors (21315520).

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

14963840 is a wasteful number, since it uses less digits than its factorization.

14963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 14963840 is about 3868.3122934944. The cubic root of 14963840 is about 246.4228741344.

The spelling of 14963840 in words is "fourteen million, nine hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 227 320 412 454 515 640 824 908 1030 1135 1648 1816 2060 2270 3296 3632 4120 4540 6592 7264 8240 9080 13184 14528 16480 18160 23381 29056 32960 36320 46762 65920 72640 93524 116905 145280 187048 233810 374096 467620 748192 935240 1496384 1870480 2992768 3740960 7481920 14963840