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14105088 = 29323061
BaseRepresentation
bin110101110011…
…101000000000
3222112121112200
4311303220000
512102330323
61222153200
7230614464
oct65635000
928477480
1014105088
117a643a8
124882800
132bcb20a
141c324a4
151389443
hexd73a00

14105088 has 60 divisors (see below), whose sum is σ = 40721538. Its totient is φ = 4700160.

The previous prime is 14105083. The next prime is 14105131. The reversal of 14105088 is 88050141.

It can be written as a sum of positive squares in only one way, i.e., 8573184 + 5531904 = 2928^2 + 2352^2 .

It is not an unprimeable number, because it can be changed into a prime (14105081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3078 + ... + 6138.

Almost surely, 214105088 is an apocalyptic number.

14105088 is a gapful number since it is divisible by the number (18) 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 14105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20360769).

14105088 is an abundant number, since it is smaller than the sum of its proper divisors (26616450).

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

14105088 is an equidigital number, since it uses as much as digits as its factorization.

14105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 14105088 is about 3755.6741072676. The cubic root of 14105088 is about 241.6157643618.

The spelling of 14105088 in words is "fourteen million, one hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 3061 4608 6122 9183 12244 18366 24488 27549 36732 48976 55098 73464 97952 110196 146928 195904 220392 293856 391808 440784 587712 783616 881568 1175424 1567232 1763136 2350848 3526272 4701696 7052544 14105088