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14716920 = 2335294229
BaseRepresentation
bin111000001000…
…111111111000
31000200200211010
4320020333320
512231420140
61243233520
7236043321
oct70107770
930620733
1014716920
118342049
124b188a0
13308384a
141d51448
15145a880
hexe08ff8

14716920 has 64 divisors (see below), whose sum is σ = 45684000. Its totient is φ = 3788288.

The previous prime is 14716907. The next prime is 14716927. The reversal of 14716920 is 2961741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14716927) by changing a digit.

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, 1366 + ... + 5594.

Almost surely, 214716920 is an apocalyptic number.

14716920 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 14716920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22842000).

14716920 is an abundant number, since it is smaller than the sum of its proper divisors (30967080).

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

14716920 is a wasteful number, since it uses less digits than its factorization.

14716920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 14716920 is about 3836.2638074043. The cubic root of 14716920 is about 245.0599325821.

The spelling of 14716920 in words is "fourteen million, seven hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 4229 8458 12687 16916 21145 25374 33832 42290 50748 63435 84580 101496 122641 126870 169160 245282 253740 367923 490564 507480 613205 735846 981128 1226410 1471692 1839615 2452820 2943384 3679230 4905640 7358460 14716920