Search a number
-
+
14589696 = 283112157
BaseRepresentation
bin110111101001…
…111100000000
31000110020022010
4313221330000
512213332241
61240412520
7235003362
oct67517400
930406263
1014589696
118265500
124a77140
13303a974
141d1ad32
151432d16
hexde9f00

14589696 has 108 divisors (see below), whose sum is σ = 42952616. Its totient is φ = 4392960.

The previous prime is 14589683. The next prime is 14589703. The reversal of 14589696 is 69698541.

14589696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92850 + ... + 93006.

Almost surely, 214589696 is an apocalyptic number.

14589696 is a gapful number since it is divisible by the number (16) 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 14589696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476308).

14589696 is an abundant number, since it is smaller than the sum of its proper divisors (28362920).

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

14589696 is a wasteful number, since it uses less digits than its factorization.

14589696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 14589696 is about 3819.6460569011. The cubic root of 14589696 is about 244.3517278004.

The spelling of 14589696 in words is "fourteen million, five hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 157 176 192 242 256 264 314 352 363 384 471 484 528 628 704 726 768 942 968 1056 1256 1408 1452 1727 1884 1936 2112 2512 2816 2904 3454 3768 3872 4224 5024 5181 5808 6908 7536 7744 8448 10048 10362 11616 13816 15072 15488 18997 20096 20724 23232 27632 30144 30976 37994 40192 41448 46464 55264 56991 60288 75988 82896 92928 110528 113982 120576 151976 165792 221056 227964 303952 331584 442112 455928 607904 663168 911856 1215808 1326336 1823712 2431616 3647424 4863232 7294848 14589696