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14666680 = 235731069
BaseRepresentation
bin110111111100…
…101110111000
31000121010220101
4313330232320
512223313210
61242205144
7235444000
oct67745670
930533811
1014666680
118308326
124ab37b4
133066a12
141d3b000
15144aa3a
hexdfcbb8

14666680 has 64 divisors (see below), whose sum is σ = 38520000. Its totient is φ = 5023872.

The previous prime is 14666677. The next prime is 14666693. The reversal of 14666680 is 8666641.

It is a super-2 number, since 2×146666802 = 430223004444800, which contains 22 as substring.

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, 13186 + ... + 14254.

It is an arithmetic number, because the mean of its divisors is an integer number (601875).

Almost surely, 214666680 is an apocalyptic number.

14666680 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 14666680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260000).

14666680 is an abundant number, since it is smaller than the sum of its proper divisors (23853320).

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

14666680 is a wasteful number, since it uses less digits than its factorization.

14666680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 14666680 is about 3829.7101718015. The cubic root of 14666680 is about 244.7807562443.

The spelling of 14666680 in words is "fourteen million, six hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1069 1372 1715 1960 2138 2744 3430 4276 5345 6860 7483 8552 10690 13720 14966 21380 29932 37415 42760 52381 59864 74830 104762 149660 209524 261905 299320 366667 419048 523810 733334 1047620 1466668 1833335 2095240 2933336 3666670 7333340 14666680