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14000064 = 263137179
BaseRepresentation
bin110101011001…
…111111000000
3222100021110220
4311121333000
512041000224
61220023040
7226666341
oct65317700
928307426
1014000064
1179a2501
124831a80
132b92480
141c060c8
151368279
hexd59fc0

14000064 has 112 divisors (see below), whose sum is σ = 40965120. Its totient is φ = 4193280.

The previous prime is 14000059. The next prime is 14000071. The reversal of 14000064 is 46000041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177177 + ... + 177255.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 214000064 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 14000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

14000064 is an abundant number, since it is smaller than the sum of its proper divisors (26965056).

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

14000064 is a wasteful number, since it uses less digits than its factorization.

14000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14000064 is about 3741.6659391239. The cubic root of 14000064 is about 241.0145936767.

The spelling of 14000064 in words is "fourteen million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 79 96 104 142 156 158 192 208 213 237 284 312 316 416 426 474 568 624 632 832 852 923 948 1027 1136 1248 1264 1704 1846 1896 2054 2272 2496 2528 2769 3081 3408 3692 3792 4108 4544 5056 5538 5609 6162 6816 7384 7584 8216 11076 11218 12324 13632 14768 15168 16432 16827 22152 22436 24648 29536 32864 33654 44304 44872 49296 59072 65728 67308 72917 88608 89744 98592 134616 145834 177216 179488 197184 218751 269232 291668 358976 437502 538464 583336 875004 1076928 1166672 1750008 2333344 3500016 4666688 7000032 14000064