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14922960 = 2435134783
BaseRepresentation
bin111000111011…
…010011010000
31001002011110020
4320323103100
512310013320
61251503440
7240562113
oct70732320
931064406
1014922960
118472928
124bb7b80
133126570
141da657a
15149b940
hexe3b4d0

14922960 has 80 divisors (see below), whose sum is σ = 49830144. Its totient is φ = 3672576.

The previous prime is 14922913. The next prime is 14922967. The reversal of 14922960 is 6922941.

14922960 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14922967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729 + ... + 5511.

Almost surely, 214922960 is an apocalyptic number.

14922960 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 14922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915072).

14922960 is an abundant number, since it is smaller than the sum of its proper divisors (34907184).

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

14922960 is a wasteful number, since it uses less digits than its factorization.

14922960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 14922960 is about 3863.0247216398. The cubic root of 14922960 is about 246.1982670234.

The spelling of 14922960 in words is "fourteen million, nine hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4783 9566 14349 19132 23915 28698 38264 47830 57396 62179 71745 76528 95660 114792 124358 143490 186537 191320 229584 248716 286980 310895 373074 382640 497432 573960 621790 746148 932685 994864 1147920 1243580 1492296 1865370 2487160 2984592 3730740 4974320 7461480 14922960