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14921664 = 2632331109
BaseRepresentation
bin111000111010…
…111111000000
31001002002200020
4320322333000
512304443124
61251453440
7240555252
oct70727700
931062606
1014921664
11847195a
124bb7280
133125ab4
141da5cd2
15149b379
hexe3afc0

14921664 has 112 divisors (see below), whose sum is σ = 42915840. Its totient is φ = 4561920.

The previous prime is 14921653. The next prime is 14921671. The reversal of 14921664 is 46612941.

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, 136842 + ... + 136950.

Almost surely, 214921664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457920).

14921664 is an abundant number, since it is smaller than the sum of its proper divisors (27994176).

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

14921664 is a wasteful number, since it uses less digits than its factorization.

14921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 14921664 is about 3862.8569737954. The cubic root of 14921664 is about 246.1911397021.

The spelling of 14921664 in words is "fourteen million, nine hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 109 124 138 184 186 192 218 248 276 327 368 372 436 496 552 654 713 736 744 872 992 1104 1308 1426 1472 1488 1744 1984 2139 2208 2507 2616 2852 2976 3379 3488 4278 4416 5014 5232 5704 5952 6758 6976 7521 8556 10028 10137 10464 11408 13516 15042 17112 20056 20274 20928 22816 27032 30084 34224 40112 40548 45632 54064 60168 68448 77717 80224 81096 108128 120336 136896 155434 160448 162192 216256 233151 240672 310868 324384 466302 481344 621736 648768 932604 1243472 1865208 2486944 3730416 4973888 7460832 14921664