Search a number
-
+
12284720 = 245721937
BaseRepresentation
bin101110110111…
…001100110000
3212010010110122
4232313030300
511121102340
61115145412
7206263340
oct56671460
925103418
1012284720
116a30768
124145268
132711786
1418bad20
151129db5
hexbb7330

12284720 has 40 divisors (see below), whose sum is σ = 32643744. Its totient is φ = 4211712.

The previous prime is 12284717. The next prime is 12284749. The reversal of 12284720 is 2748221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12284720.

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 7 ways as a sum of consecutive naturals, for example, 10409 + ... + 11528.

Almost surely, 212284720 is an apocalyptic number.

12284720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12284720 is an abundant number, since it is smaller than the sum of its proper divisors (20359024).

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

12284720 is a wasteful number, since it uses less digits than its factorization.

12284720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21957 (or 21951 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 12284720 is about 3504.9564904575. The cubic root of 12284720 is about 230.7393973969.

The spelling of 12284720 in words is "twelve million, two hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 21937 43874 87748 109685 153559 175496 219370 307118 350992 438740 614236 767795 877480 1228472 1535590 1754960 2456944 3071180 6142360 12284720