Search a number
-
+
14675868 = 22324161163
BaseRepresentation
bin110111111110…
…111110011100
31000121121111200
4313332332130
512224111433
61242315500
7235512534
oct67767634
930547450
1014675868
118314219
124ab8b90
13306ac5c
141d404c4
15144d613
hexdfef9c

14675868 has 72 divisors (see below), whose sum is σ = 38862096. Its totient is φ = 4665600.

The previous prime is 14675861. The next prime is 14675893. The reversal of 14675868 is 86857641.

It is a happy number.

14675868 is a `hidden beast` number, since 1 + 4 + 67 + 586 + 8 = 666.

It is a super-2 number, since 2×146758682 = 430762203106848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14675861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89955 + ... + 90117.

Almost surely, 214675868 is an apocalyptic number.

14675868 is a gapful number since it is divisible by the number (18) 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 14675868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19431048).

14675868 is an abundant number, since it is smaller than the sum of its proper divisors (24186228).

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

14675868 is a wasteful number, since it uses less digits than its factorization.

14675868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 270 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 14675868 is about 3830.9095525736. The cubic root of 14675868 is about 244.8318602003.

It can be divided in two parts, 1467 and 5868, that multiplied together give a square (8608356 = 29342).

The spelling of 14675868 in words is "fourteen million, six hundred seventy-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 61 82 122 123 163 164 183 244 246 326 366 369 489 492 549 652 732 738 978 1098 1467 1476 1956 2196 2501 2934 5002 5868 6683 7503 9943 10004 13366 15006 19886 20049 22509 26732 29829 30012 39772 40098 45018 59658 60147 80196 89487 90036 119316 120294 178974 240588 357948 407663 815326 1222989 1630652 2445978 3668967 4891956 7337934 14675868