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14107872 = 253223659
BaseRepresentation
bin110101110100…
…010011100000
3222112202100210
4311310103200
512102422442
61222214120
7230625552
oct65642340
928482323
1014107872
117a664a9
124884340
132bcc56c
141c334d2
15138a19c
hexd744e0

14107872 has 48 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 4674432.

The previous prime is 14107871. The next prime is 14107879. The reversal of 14107872 is 27870141.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14107871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21079 + ... + 21737.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 214107872 is an apocalyptic number.

14107872 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 14107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

14107872 is an abundant number, since it is smaller than the sum of its proper divisors (23147808).

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

14107872 is a wasteful number, since it uses less digits than its factorization.

14107872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 14107872 is about 3756.0447281682. The cubic root of 14107872 is about 241.6316596670.

The spelling of 14107872 in words is "fourteen million, one hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 659 669 892 1318 1338 1784 1977 2636 2676 3568 3954 5272 5352 7136 7908 10544 10704 15816 21088 21408 31632 63264 146957 293914 440871 587828 881742 1175656 1763484 2351312 3526968 4702624 7053936 14107872