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14106372 = 2237612753
BaseRepresentation
bin110101110011…
…111100000100
3222112200022020
4311303330010
512102400442
61222203140
7230621310
oct65637404
928480266
1014106372
117a65365
1248834b0
132bcb987
141c32b40
1513899ec
hexd73f04

14106372 has 48 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 3962880.

The previous prime is 14106371. The next prime is 14106377. The reversal of 14106372 is 27360141.

It is not an unprimeable number, because it can be changed into a prime (14106371) by changing a digit.

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, 3748 + ... + 6500.

It is an arithmetic number, because the mean of its divisors is an integer number (796824).

Almost surely, 214106372 is an apocalyptic number.

14106372 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 14106372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

14106372 is an abundant number, since it is smaller than the sum of its proper divisors (24141180).

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

14106372 is a wasteful number, since it uses less digits than its factorization.

14106372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 14106372 is about 3755.8450447270. The cubic root of 14106372 is about 241.6230956460.

The spelling of 14106372 in words is "fourteen million, one hundred six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 2753 5124 5506 8259 11012 16518 19271 33036 38542 57813 77084 115626 167933 231252 335866 503799 671732 1007598 1175531 2015196 2351062 3526593 4702124 7053186 14106372