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14368896 = 273212473
BaseRepresentation
bin110110110100…
…000010000000
31000001000102100
4312310002000
512134301041
61231550400
7233063553
oct66640200
930030370
1014368896
118124623
12498b400
132c91309
141ca069a
1513dc6b6
hexdb4080

14368896 has 48 divisors (see below), whose sum is σ = 41351310. Its totient is φ = 4789248.

The previous prime is 14368853. The next prime is 14368933. The reversal of 14368896 is 69886341.

It can be written as a sum of positive squares in only one way, i.e., 11128896 + 3240000 = 3336^2 + 1800^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5085 + ... + 7388.

Almost surely, 214368896 is an apocalyptic number.

14368896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14368896 is an abundant number, since it is smaller than the sum of its proper divisors (26982414).

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

14368896 is a wasteful number, since it uses less digits than its factorization.

14368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12493 (or 12478 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14368896 is about 3790.6326648727. The cubic root of 14368896 is about 243.1127861334.

The spelling of 14368896 in words is "fourteen million, three hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12473 24946 37419 49892 74838 99784 112257 149676 199568 224514 299352 399136 449028 598704 798272 898056 1197408 1596544 1796112 2394816 3592224 4789632 7184448 14368896