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14889680 = 24513103139
BaseRepresentation
bin111000110011…
…001011010000
31001000110210122
4320303023100
512302432210
61251045412
7240363101
oct70631320
931013718
1014889680
11844a923
124ba0868
133114380
141d983a8
151491b55
hexe332d0

14889680 has 80 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 5405184.

The previous prime is 14889643. The next prime is 14889691. The reversal of 14889680 is 8698841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107051 + ... + 107189.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 214889680 is an apocalyptic number.

14889680 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 14889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

14889680 is an abundant number, since it is smaller than the sum of its proper divisors (23024560).

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

14889680 is a wasteful number, since it uses less digits than its factorization.

14889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 14889680 is about 3858.7148119549. The cubic root of 14889680 is about 246.0151135315.

The spelling of 14889680 in words is "fourteen million, eight hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 139 206 208 260 278 412 515 520 556 695 824 1030 1040 1112 1339 1390 1648 1807 2060 2224 2678 2780 3614 4120 5356 5560 6695 7228 8240 9035 10712 11120 13390 14317 14456 18070 21424 26780 28634 28912 36140 53560 57268 71585 72280 107120 114536 143170 144560 186121 229072 286340 372242 572680 744484 930605 1145360 1488968 1861210 2977936 3722420 7444840 14889680