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12354920 = 2351718169
BaseRepresentation
bin101111001000…
…010101101000
3212020200202122
4233020111220
511130324140
61120450412
7210005114
oct57102550
925220678
1012354920
116a79486
124179a08
132737706
1418d8744
151140ab5
hexbc8568

12354920 has 32 divisors (see below), whose sum is σ = 29435400. Its totient is φ = 4651008.

The previous prime is 12354919. The next prime is 12354943. The reversal of 12354920 is 2945321.

It can be written as a sum of positive squares in 4 ways, for example, as 9375844 + 2979076 = 3062^2 + 1726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12354920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8405 + ... + 9764.

Almost surely, 212354920 is an apocalyptic number.

12354920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12354920 is an abundant number, since it is smaller than the sum of its proper divisors (17080480).

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

12354920 is a wasteful number, since it uses less digits than its factorization.

12354920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197 (or 18193 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 12354920 is about 3514.9566142415. The cubic root of 12354920 is about 231.1780764882.

The spelling of 12354920 in words is "twelve million, three hundred fifty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 18169 36338 72676 90845 145352 181690 308873 363380 617746 726760 1235492 1544365 2470984 3088730 6177460 12354920