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12292420 = 225787803
BaseRepresentation
bin101110111001…
…000101000100
3212010112000211
4232321011010
511121324140
61115245204
7206324650
oct56710504
925115024
1012292420
116a36528
124149804
13271512a
1418bda60
15112c2ea
hexbb9144

12292420 has 24 divisors (see below), whose sum is σ = 29502144. Its totient is φ = 4214496.

The previous prime is 12292417. The next prime is 12292421. The reversal of 12292420 is 2429221.

It is a super-2 number, since 2×122924202 = 302207178912800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12292391 and 12292400.

It is not an unprimeable number, because it can be changed into a prime (12292421) by changing a digit.

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, 43762 + ... + 44041.

It is an arithmetic number, because the mean of its divisors is an integer number (1229256).

Almost surely, 212292420 is an apocalyptic number.

12292420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12292420 is an abundant number, since it is smaller than the sum of its proper divisors (17209724).

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

12292420 is a wasteful number, since it uses less digits than its factorization.

12292420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87819 (or 87817 counting only the distinct ones).

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

The square root of 12292420 is about 3506.0547628353. The cubic root of 12292420 is about 230.7875960883.

The spelling of 12292420 in words is "twelve million, two hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 87803 175606 351212 439015 614621 878030 1229242 1756060 2458484 3073105 6146210 12292420