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14985960 = 23351111353
BaseRepresentation
bin111001001010…
…101011101000
31001012100212120
4321022223220
512314022320
61253111240
7241243563
oct71125350
931170776
1014985960
1185061a0
125028520
133149142
141dc14da
1514b0440
hexe4aae8

14985960 has 64 divisors (see below), whose sum is σ = 49049280. Its totient is φ = 3632640.

The previous prime is 14985913. The next prime is 14985967. The reversal of 14985960 is 6958941.

14985960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14985967) 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, 4357 + ... + 6996.

It is an arithmetic number, because the mean of its divisors is an integer number (766395).

Almost surely, 214985960 is an apocalyptic number.

14985960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14985960 is an abundant number, since it is smaller than the sum of its proper divisors (34063320).

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

14985960 is a wasteful number, since it uses less digits than its factorization.

14985960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11378 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 14985960 is about 3871.1703656646. The cubic root of 14985960 is about 246.5442375967.

The spelling of 14985960 in words is "fourteen million, nine hundred eighty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 11353 22706 34059 45412 56765 68118 90824 113530 124883 136236 170295 227060 249766 272472 340590 374649 454120 499532 624415 681180 749298 999064 1248830 1362360 1498596 1873245 2497660 2997192 3746490 4995320 7492980 14985960