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14189968 = 2413174013
BaseRepresentation
bin110110001000…
…010110010000
3222200220222101
4312020112100
512113034333
61224050144
7231420112
oct66102620
928626871
1014189968
118012151
124903954
132c2aa40
141c553b2
1513a467d
hexd88590

14189968 has 40 divisors (see below), whose sum is σ = 31357368. Its totient is φ = 6162432.

The previous prime is 14189953. The next prime is 14189983. The reversal of 14189968 is 86998141.

It is an interprime number because it is at equal distance from previous prime (14189953) and next prime (14189983).

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 10549504 = 1908^2 + 3248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530 + ... + 5542.

Almost surely, 214189968 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 14189968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678684).

14189968 is an abundant number, since it is smaller than the sum of its proper divisors (17167400).

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

14189968 is a wasteful number, since it uses less digits than its factorization.

14189968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4045 counting only the distinct ones).

The product of its digits is 124416, while the sum is 46.

The square root of 14189968 is about 3766.9573929101. The cubic root of 14189968 is about 242.0994514175.

It can be divided in two parts, 141 and 89968, that added together give a palindrome (90109).

The spelling of 14189968 in words is "fourteen million, one hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 4013 8026 16052 32104 52169 64208 68221 104338 136442 208676 272884 417352 545768 834704 886873 1091536 1773746 3547492 7094984 14189968