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14135380 = 2257313257
BaseRepresentation
bin110101111011…
…000001010100
3222121011002121
4311323001110
512104313010
61222545324
7231102010
oct65730124
928534077
1014135380
117a85136
124898244
132c0bc3c
141c3d540
1513933da
hexd7b054

14135380 has 48 divisors (see below), whose sum is σ = 35030016. Its totient is φ = 4688640.

The previous prime is 14135377. The next prime is 14135413. The reversal of 14135380 is 8353141.

14135380 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

14135380 is strictly pandigital in base 8.

It is a congruent number.

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, 2712 + ... + 5968.

It is an arithmetic number, because the mean of its divisors is an integer number (729792).

Almost surely, 214135380 is an apocalyptic number.

14135380 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 14135380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515008).

14135380 is an abundant number, since it is smaller than the sum of its proper divisors (20894636).

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

14135380 is a wasteful number, since it uses less digits than its factorization.

14135380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 14135380 is about 3759.7047756440. The cubic root of 14135380 is about 241.7886048655.

The spelling of 14135380 in words is "fourteen million, one hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3257 4340 6514 13028 16285 22799 32570 45598 65140 91196 100967 113995 201934 227990 403868 455980 504835 706769 1009670 1413538 2019340 2827076 3533845 7067690 14135380