[go: up one dir, main page]

Search a number
-
+
14964912 = 24361283
BaseRepresentation
bin111001000101…
…100010110000
31001011022000000
4321011202300
512312334122
61252430000
7241125324
oct71054260
931138000
1014964912
1184a13a6
125018300
13313c6a1
141db7984
1514a90ac
hexe458b0

14964912 has 70 divisors (see below), whose sum is σ = 43505772. Its totient is φ = 4984416.

The previous prime is 14964907. The next prime is 14964923. The reversal of 14964912 is 21946941.

It is a happy number.

14964912 is a `hidden beast` number, since 1 + 4 + 9 + 649 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11023 + ... + 12305.

Almost surely, 214964912 is an apocalyptic number.

14964912 is a gapful number since it is divisible by the number (12) 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 14964912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21752886).

14964912 is an abundant number, since it is smaller than the sum of its proper divisors (28540860).

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

14964912 is an equidigital number, since it uses as much as digits as its factorization.

14964912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1288 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 14964912 is about 3868.4508527316. The cubic root of 14964912 is about 246.4287585200.

It can be divided in two parts, 14964 and 912, that added together give a square (15876 = 1262).

The spelling of 14964912 in words is "fourteen million, nine hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1283 1296 1458 1944 2566 2916 3849 3888 5132 5832 7698 10264 11547 11664 15396 20528 23094 30792 34641 46188 61584 69282 92376 103923 138564 184752 207846 277128 311769 415692 554256 623538 831384 935307 1247076 1662768 1870614 2494152 3741228 4988304 7482456 14964912