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14880192 = 263194079
BaseRepresentation
bin111000110000…
…110111000000
31000222222210020
4320300313000
512302131232
61250533440
7240323325
oct70606700
930888706
1014880192
118443788
124b97280
13310cc62
141d94b4c
15148de2c
hexe30dc0

14880192 has 56 divisors (see below), whose sum is σ = 41452800. Its totient is φ = 4697856.

The previous prime is 14880181. The next prime is 14880197. The reversal of 14880192 is 29108841.

It is a super-2 number, since 2×148801922 = 442840227913728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14880197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609 + ... + 5687.

Almost surely, 214880192 is an apocalyptic number.

14880192 is a gapful number since it is divisible by the number (12) 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 14880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726400).

14880192 is an abundant number, since it is smaller than the sum of its proper divisors (26572608).

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

14880192 is a wasteful number, since it uses less digits than its factorization.

14880192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 14880192 is about 3857.4851911576. The cubic root of 14880192 is about 245.9628471884.

The spelling of 14880192 in words is "fourteen million, eight hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 4079 8158 12237 16316 24474 32632 48948 65264 77501 97896 130528 155002 195792 232503 261056 310004 391584 465006 620008 783168 930012 1240016 1860024 2480032 3720048 4960064 7440096 14880192