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14047956 = 22321322309
BaseRepresentation
bin110101100101…
…101011010100
3222102201011200
4311211223110
512044013311
61221032500
7230256066
oct65455324
928381150
1014047956
117a2548a
124855730
132bab200
141c19736
151377556
hexd65ad4

14047956 has 54 divisors (see below), whose sum is σ = 38468430. Its totient is φ = 4320576.

The previous prime is 14047951. The next prime is 14047961. The reversal of 14047956 is 65974041.

It is an interprime number because it is at equal distance from previous prime (14047951) and next prime (14047961).

It can be written as a sum of positive squares in 3 ways, for example, as 476100 + 13571856 = 690^2 + 3684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14047956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14047951) 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 17 ways as a sum of consecutive naturals, for example, 4930 + ... + 7238.

Almost surely, 214047956 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 14047956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234215).

14047956 is an abundant number, since it is smaller than the sum of its proper divisors (24420474).

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

14047956 is a wasteful number, since it uses less digits than its factorization.

14047956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14047956 is about 3748.0602983410. The cubic root of 14047956 is about 241.2891051360.

The spelling of 14047956 in words is "fourteen million, forty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2309 3042 4618 6084 6927 9236 13854 20781 27708 30017 41562 60034 83124 90051 120068 180102 270153 360204 390221 540306 780442 1080612 1170663 1560884 2341326 3511989 4682652 7023978 14047956