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14413696 = 271129353
BaseRepresentation
bin110110111110…
…111110000000
31000010021212121
4312332332000
512142214241
61232534024
7233341303
oct66767600
930107777
1014413696
118155250
1249b1314
132ca881b
141cb2b3a
1513eaad1
hexdbef80

14413696 has 64 divisors (see below), whose sum is σ = 32497200. Its totient is φ = 6307840.

The previous prime is 14413661. The next prime is 14413703. The reversal of 14413696 is 69631441.

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, 40656 + ... + 41008.

Almost surely, 214413696 is an apocalyptic number.

14413696 is a gapful number since it is divisible by the number (16) 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 14413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248600).

14413696 is an abundant number, since it is smaller than the sum of its proper divisors (18083504).

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

14413696 is a wasteful number, since it uses less digits than its factorization.

14413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 14413696 is about 3796.5373697621. The cubic root of 14413696 is about 243.3651867143.

The spelling of 14413696 in words is "fourteen million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 353 464 638 704 706 928 1276 1408 1412 1856 2552 2824 3712 3883 5104 5648 7766 10208 10237 11296 15532 20416 20474 22592 31064 40832 40948 45184 62128 81896 112607 124256 163792 225214 248512 327584 450428 497024 655168 900856 1310336 1801712 3603424 7206848 14413696