Search a number
-
+
14778630 = 2325315297
BaseRepresentation
bin111000011000…
…000100000110
31000210211110200
4320120010012
512240404010
61244431330
7236421246
oct70300406
930724420
1014778630
118384449
124b48546
1330a5969
141d69b26
15146dcc0
hexe18106

14778630 has 48 divisors (see below), whose sum is σ = 39671424. Its totient is φ = 3813120.

The previous prime is 14778613. The next prime is 14778649. The reversal of 14778630 is 3687741.

14778630 is a `hidden beast` number, since 14 + 7 + 7 + 8 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142 + ... + 5438.

It is an arithmetic number, because the mean of its divisors is an integer number (826488).

Almost surely, 214778630 is an apocalyptic number.

14778630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14778630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835712).

14778630 is an abundant number, since it is smaller than the sum of its proper divisors (24892794).

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

14778630 is a wasteful number, since it uses less digits than its factorization.

14778630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 14778630 is about 3844.2983755167. The cubic root of 14778630 is about 245.4019778935.

The spelling of 14778630 in words is "fourteen million, seven hundred seventy-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 5297 10594 15891 26485 31782 47673 52970 79455 95346 158910 164207 238365 328414 476730 492621 821035 985242 1477863 1642070 2463105 2955726 4926210 7389315 14778630