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14006376 = 2332474139
BaseRepresentation
bin110101011011…
…100001101000
3222100121010200
4311123201220
512041201001
61220112200
7230023626
oct65334150
928317120
1014006376
1179a721a
124835660
132b952c7
141c08516
15136a086
hexd5b868

14006376 has 48 divisors (see below), whose sum is σ = 38750400. Its totient is φ = 4568352.

The previous prime is 14006359. The next prime is 14006381. The reversal of 14006376 is 67360041.

14006376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (807300).

Almost surely, 214006376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14006376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375200).

14006376 is an abundant number, since it is smaller than the sum of its proper divisors (24744024).

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

14006376 is a wasteful number, since it uses less digits than its factorization.

14006376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 14006376 is about 3742.5093186257. The cubic root of 14006376 is about 241.0508091194.

It can be divided in two parts, 1400 and 6376, that added together give a 5-th power (7776 = 65).

The spelling of 14006376 in words is "fourteen million, six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 4139 8278 12417 16556 24834 33112 37251 49668 74502 99336 149004 194533 298008 389066 583599 778132 1167198 1556264 1750797 2334396 3501594 4668792 7003188 14006376