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14364912 = 243192829
BaseRepresentation
bin110110110011…
…000011110000
31000000210221210
4312303003300
512134134122
61231520120
7233046132
oct66630360
930023853
1014364912
118121631
124989040
132c8c563
141c9d052
1513db40c
hexdb30f0

14364912 has 60 divisors (see below), whose sum is σ = 39212520. Its totient is φ = 4530816.

The previous prime is 14364887. The next prime is 14364937. The reversal of 14364912 is 21946341.

14364912 is digitally balanced in base 2, because in such base 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 (14364887) and next prime (14364937).

It is a self number, because there is not a number n which added to its sum of digits gives 14364912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16914 + ... + 17742.

It is an arithmetic number, because the mean of its divisors is an integer number (653542).

Almost surely, 214364912 is an apocalyptic number.

14364912 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 14364912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606260).

14364912 is an abundant number, since it is smaller than the sum of its proper divisors (24847608).

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

14364912 is a wasteful number, since it uses less digits than its factorization.

14364912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 853 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 14364912 is about 3790.1071224967. The cubic root of 14364912 is about 243.0903151221.

The spelling of 14364912 in words is "fourteen million, three hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 722 829 912 1083 1444 1658 2166 2487 2888 3316 4332 4974 5776 6632 8664 9948 13264 15751 17328 19896 31502 39792 47253 63004 94506 126008 189012 252016 299269 378024 598538 756048 897807 1197076 1795614 2394152 3591228 4788304 7182456 14364912