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14064816 = 243714127
BaseRepresentation
bin110101101001…
…110010110000
3222110120022010
4311221302300
512100033231
61221242520
7230356203
oct65516260
928416263
1014064816
117a37117
124863440
132bb5a9c
141c2193a
15137c546
hexd69cb0

14064816 has 40 divisors (see below), whose sum is σ = 36854784. Its totient is φ = 4621120.

The previous prime is 14064811. The next prime is 14064821. The reversal of 14064816 is 61846041.

14064816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14064811) and next prime (14064821).

It is a super-2 number, since 2×140648162 = 395638098227712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14064811) 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, 1345 + ... + 5471.

Almost surely, 214064816 is an apocalyptic number.

14064816 is a gapful number since it is divisible by the number (16) 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 14064816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427392).

14064816 is an abundant number, since it is smaller than the sum of its proper divisors (22789968).

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

14064816 is a wasteful number, since it uses less digits than its factorization.

14064816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14064816 is about 3750.3087872867. The cubic root of 14064816 is about 241.3855962295.

The spelling of 14064816 in words is "fourteen million, sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 4127 8254 12381 16508 24762 33016 49524 66032 99048 198096 293017 586034 879051 1172068 1758102 2344136 3516204 4688272 7032408 14064816