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14369664 = 273231627
BaseRepresentation
bin110110110100…
…001110000000
31000001001110210
4312310032000
512134312124
61231554120
7233066031
oct66641600
930031423
1014369664
118125161
12498b940
132c9177a
141ca0a88
1513dca29
hexdb4380

14369664 has 64 divisors (see below), whose sum is σ = 39853440. Its totient is φ = 4578816.

The previous prime is 14369657. The next prime is 14369683. The reversal of 14369664 is 46696341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8019 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (622710).

Almost surely, 214369664 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 14369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926720).

14369664 is an abundant number, since it is smaller than the sum of its proper divisors (25483776).

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

14369664 is a wasteful number, since it uses less digits than its factorization.

14369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1655 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 14369664 is about 3790.7339658699. The cubic root of 14369664 is about 243.1171174170.

The spelling of 14369664 in words is "fourteen million, three hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 1627 2208 2944 3254 4416 4881 6508 8832 9762 13016 19524 26032 37421 39048 52064 74842 78096 104128 112263 149684 156192 208256 224526 299368 312384 449052 598736 624768 898104 1197472 1796208 2394944 3592416 4789888 7184832 14369664