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14108920 = 2357411229
BaseRepresentation
bin110101110100…
…100011111000
3222112210210121
4311310203320
512102441140
61222223024
7230631610
oct65644370
928483717
1014108920
117a67271
124884a74
132bccb97
141c33a40
15138a64a
hexd748f8

14108920 has 64 divisors (see below), whose sum is σ = 37195200. Its totient is φ = 4715520.

The previous prime is 14108909. The next prime is 14108947. The reversal of 14108920 is 2980141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10866 + ... + 12094.

It is an arithmetic number, because the mean of its divisors is an integer number (581175).

Almost surely, 214108920 is an apocalyptic number.

14108920 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 14108920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597600).

14108920 is an abundant number, since it is smaller than the sum of its proper divisors (23086280).

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

14108920 is a wasteful number, since it uses less digits than its factorization.

14108920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 14108920 is about 3756.1842340333. The cubic root of 14108920 is about 241.6376427028.

The spelling of 14108920 in words is "fourteen million, one hundred eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1229 1435 1640 2296 2458 2870 4916 5740 6145 8603 9832 11480 12290 17206 24580 34412 43015 49160 50389 68824 86030 100778 172060 201556 251945 344120 352723 403112 503890 705446 1007780 1410892 1763615 2015560 2821784 3527230 7054460 14108920