Search a number
-
+
15630966 = 2321367997
BaseRepresentation
bin111011101000…
…001001110110
31002102010122200
4323220021312
513000142331
61315005330
7246601221
oct73501166
932363580
1015630966
11890685a
125299846
1333138c0
14210c5b8
15158b5e6
hexee8276

15630966 has 48 divisors (see below), whose sum is σ = 37053744. Its totient is φ = 4732992.

The previous prime is 15630949. The next prime is 15631001. The reversal of 15630966 is 66903651.

15630966 is a `hidden beast` number, since 1 + 563 + 0 + 96 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 15630966.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15180 + ... + 16176.

It is an arithmetic number, because the mean of its divisors is an integer number (771953).

Almost surely, 215630966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15630966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18526872).

15630966 is an abundant number, since it is smaller than the sum of its proper divisors (21422778).

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

15630966 is a wasteful number, since it uses less digits than its factorization.

15630966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 15630966 is about 3953.6016491296. The cubic root of 15630966 is about 250.0318146178.

The spelling of 15630966 in words is "fifteen million, six hundred thirty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 201 234 402 603 871 997 1206 1742 1994 2613 2991 5226 5982 7839 8973 12961 15678 17946 25922 38883 66799 77766 116649 133598 200397 233298 400794 601191 868387 1202382 1736774 2605161 5210322 7815483 15630966