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14074008 = 2331379571
BaseRepresentation
bin110101101100…
…000010011000
3222111000220120
4311230002120
512100332013
61221353240
7230425044
oct65540230
928430816
1014074008
117a43013
124868820
132bba020
141c25024
151380123
hexd6c098

14074008 has 64 divisors (see below), whose sum is σ = 38438400. Its totient is φ = 4268160.

The previous prime is 14074007. The next prime is 14074033. The reversal of 14074008 is 80047041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14074001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24363 + ... + 24933.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 214074008 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 14074008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219200).

14074008 is an abundant number, since it is smaller than the sum of its proper divisors (24364392).

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

14074008 is a wasteful number, since it uses less digits than its factorization.

14074008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 14074008 is about 3751.5340862106. The cubic root of 14074008 is about 241.4381702840.

The spelling of 14074008 in words is "fourteen million, seventy-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 571 632 948 1027 1142 1713 1896 2054 2284 3081 3426 4108 4568 6162 6852 7423 8216 12324 13704 14846 22269 24648 29692 44538 45109 59384 89076 90218 135327 178152 180436 270654 360872 541308 586417 1082616 1172834 1759251 2345668 3518502 4691336 7037004 14074008