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14855680 = 2957829
BaseRepresentation
bin111000101010…
…111000000000
31000221202011101
4320222320000
512300340210
61250224144
7240162010
oct70527000
930852141
1014855680
118427324
124b85054
133101a58
141d89c40
151486a3a
hexe2ae00

14855680 has 80 divisors (see below), whose sum is σ = 40756320. Its totient is φ = 5087232.

The previous prime is 14855641. The next prime is 14855681. The reversal of 14855680 is 8655841.

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 (14855681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17506 + ... + 18334.

It is an arithmetic number, because the mean of its divisors is an integer number (509454).

Almost surely, 214855680 is an apocalyptic number.

14855680 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 14855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378160).

14855680 is an abundant number, since it is smaller than the sum of its proper divisors (25900640).

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

14855680 is an frugal number, since it uses more digits than its factorization.

14855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 14855680 is about 3854.3066821414. The cubic root of 14855680 is about 245.8277155344.

The spelling of 14855680 in words is "fourteen million, eight hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 829 896 1120 1280 1658 1792 2240 2560 3316 3584 4145 4480 5803 6632 8290 8960 11606 13264 16580 17920 23212 26528 29015 33160 46424 53056 58030 66320 92848 106112 116060 132640 185696 212224 232120 265280 371392 424448 464240 530560 742784 928480 1061120 1485568 1856960 2122240 2971136 3713920 7427840 14855680