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14377216 = 28771113
BaseRepresentation
bin110110110110…
…000100000000
31000001102211111
4312312010000
512140032331
61232053104
7233130040
oct66660400
930042744
1014377216
11812a8a7
124994194
132c95039
141ca3720
1513dedb1
hexdb6100

14377216 has 72 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 6021120.

The previous prime is 14377193. The next prime is 14377229. The reversal of 14377216 is 61277341.

It is a nialpdrome in base 16.

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, 127176 + ... + 127288.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 214377216 is an apocalyptic number.

14377216 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 14377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

14377216 is an abundant number, since it is smaller than the sum of its proper divisors (19177088).

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

14377216 is an equidigital number, since it uses as much as digits as its factorization.

14377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 14377216 is about 3791.7299481899. The cubic root of 14377216 is about 243.1597001553.

The spelling of 14377216 in words is "fourteen million, three hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 113 128 142 224 226 256 284 448 452 497 568 791 896 904 994 1136 1582 1792 1808 1988 2272 3164 3616 3976 4544 6328 7232 7952 8023 9088 12656 14464 15904 16046 18176 25312 28928 31808 32092 50624 56161 63616 64184 101248 112322 127232 128368 202496 224644 256736 449288 513472 898576 1026944 1797152 2053888 3594304 7188608 14377216