Search a number
-
+
12422920 = 2351718269
BaseRepresentation
bin101111011000…
…111100001000
3212101011001011
4233120330020
511140013140
61122133304
7210410266
oct57307410
925334034
1012422920
117015584
1241b1234
13275c653
141915436
151155cea
hexbd8f08

12422920 has 32 divisors (see below), whose sum is σ = 29597400. Its totient is φ = 4676608.

The previous prime is 12422897. The next prime is 12422923. The reversal of 12422920 is 2922421.

12422920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11930116 + 492804 = 3454^2 + 702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12422891 and 12422900.

It is not an unprimeable number, because it can be changed into a prime (12422923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8455 + ... + 9814.

Almost surely, 212422920 is an apocalyptic number.

12422920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12422920 is an abundant number, since it is smaller than the sum of its proper divisors (17174480).

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

12422920 is a wasteful number, since it uses less digits than its factorization.

12422920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18297 (or 18293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12422920 is about 3524.6162911727. The cubic root of 12422920 is about 231.6014262289.

The spelling of 12422920 in words is "twelve million, four hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 18269 36538 73076 91345 146152 182690 310573 365380 621146 730760 1242292 1552865 2484584 3105730 6211460 12422920