[go: up one dir, main page]

Search a number
-
+
12996024 = 2331753601
BaseRepresentation
bin110001100100…
…110110111000
3220110021012020
4301210312320
511311333044
61142314440
7215315166
oct61446670
926407166
1012996024
117377118
124428a20
132900472
141a24236
15121aa19
hexc64db8

12996024 has 64 divisors (see below), whose sum is σ = 35108640. Its totient is φ = 3993600.

The previous prime is 12996023. The next prime is 12996043. The reversal of 12996024 is 42069921.

12996024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 36052-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12996023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21324 + ... + 21924.

Almost surely, 212996024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12996024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554320).

12996024 is an abundant number, since it is smaller than the sum of its proper divisors (22112616).

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

12996024 is a wasteful number, since it uses less digits than its factorization.

12996024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 12996024 is about 3604.9998613037. Note that the first 3 decimals coincide. The cubic root of 12996024 is about 235.1094947721.

The spelling of 12996024 in words is "twelve million, nine hundred ninety-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 601 636 901 1202 1272 1802 1803 2404 2703 3604 3606 4808 5406 7208 7212 10217 10812 14424 20434 21624 30651 31853 40868 61302 63706 81736 95559 122604 127412 191118 245208 254824 382236 541501 764472 1083002 1624503 2166004 3249006 4332008 6498012 12996024