Search a number
-
+
12269620 = 22511431297
BaseRepresentation
bin101110110011…
…100000110100
3212002100202101
4232303200310
511120111440
61114551444
7206201326
oct56634064
925070671
1012269620
116a20390
124138584
13270793c
1418b5616
15112569a
hexbb3834

12269620 has 48 divisors (see below), whose sum is σ = 28784448. Its totient is φ = 4354560.

The previous prime is 12269567. The next prime is 12269623. The reversal of 12269620 is 2696221.

12269620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12269623) 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, 8812 + ... + 10108.

It is an arithmetic number, because the mean of its divisors is an integer number (599676).

Almost surely, 212269620 is an apocalyptic number.

12269620 is a gapful number since it is divisible by the number (10) 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 12269620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392224).

12269620 is an abundant number, since it is smaller than the sum of its proper divisors (16514828).

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

12269620 is a wasteful number, since it uses less digits than its factorization.

12269620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12269620 is about 3502.8017357538. The cubic root of 12269620 is about 230.6448193786.

The spelling of 12269620 in words is "twelve million, two hundred sixty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1297 1892 2365 2594 4730 5188 6485 9460 12970 14267 25940 28534 55771 57068 71335 111542 142670 223084 278855 285340 557710 613481 1115420 1226962 2453924 3067405 6134810 12269620