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14914416 = 2431147601
BaseRepresentation
bin111000111001…
…001101110000
31001001201201210
4320321031300
512304230131
61251400120
7240525156
oct70711560
931051653
1014914416
118467470
124bb3040
1331226ca
141da33d6
151499146
hexe39370

14914416 has 80 divisors (see below), whose sum is σ = 42997248. Its totient is φ = 4416000.

The previous prime is 14914397. The next prime is 14914483. The reversal of 14914416 is 61441941.

14914416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24516 + ... + 25116.

Almost surely, 214914416 is an apocalyptic number.

14914416 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 14914416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498624).

14914416 is an abundant number, since it is smaller than the sum of its proper divisors (28082832).

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

14914416 is a wasteful number, since it uses less digits than its factorization.

14914416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 14914416 is about 3861.9186941208. The cubic root of 14914416 is about 246.1512718881.

The spelling of 14914416 in words is "fourteen million, nine hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 601 752 1034 1128 1202 1551 1803 2068 2256 2404 3102 3606 4136 4808 6204 6611 7212 8272 9616 12408 13222 14424 19833 24816 26444 28247 28848 39666 52888 56494 79332 84741 105776 112988 158664 169482 225976 310717 317328 338964 451952 621434 677928 932151 1242868 1355856 1864302 2485736 3728604 4971472 7457208 14914416