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14890688 = 262971113
BaseRepresentation
bin111000110011…
…011011000000
31001000112011222
4320303123000
512303000223
61251054212
7240366041
oct70633300
931015158
1014890688
11845065a
124ba1368
133114977
141d988c8
1514920c8
hexe336c0

14890688 has 56 divisors (see below), whose sum is σ = 31272480. Its totient is φ = 7024640.

The previous prime is 14890669. The next prime is 14890693. The reversal of 14890688 is 88609841.

It is a happy number.

It is a super-2 number, since 2×148906882 = 443465178226688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131720 + ... + 131832.

Almost surely, 214890688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636240).

14890688 is an abundant number, since it is smaller than the sum of its proper divisors (16381792).

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

14890688 is a wasteful number, since it uses less digits than its factorization.

14890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 14890688 is about 3858.8454231804. The cubic root of 14890688 is about 246.0206649747.

The spelling of 14890688 in words is "fourteen million, eight hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 71 113 116 142 226 232 284 452 464 568 904 928 1136 1808 1856 2059 2272 3277 3616 4118 4544 6554 7232 8023 8236 13108 16046 16472 26216 32092 32944 52432 64184 65888 104864 128368 131776 209728 232667 256736 465334 513472 930668 1861336 3722672 7445344 14890688