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12292590 = 235409753
BaseRepresentation
bin101110111001…
…000111101110
3212010112021010
4232321013232
511121330330
61115250050
7206325312
oct56710756
925115233
1012292590
116a36672
124149926
13271522b
1418bdb42
15112c3b0
hexbb91ee

12292590 has 16 divisors (see below), whose sum is σ = 29502288. Its totient is φ = 3278016.

The previous prime is 12292589. The next prime is 12292597. The reversal of 12292590 is 9529221.

It is a super-2 number, since 2×122925902 = 302215537816200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 409753 = 12292590 / (1 + 2 + 2 + 9 + 2 + 5 + 9 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12292597) 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, 204847 + ... + 204906.

It is an arithmetic number, because the mean of its divisors is an integer number (1843893).

Almost surely, 212292590 is an apocalyptic number.

12292590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12292590 is an abundant number, since it is smaller than the sum of its proper divisors (17209698).

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

12292590 is a wasteful number, since it uses less digits than its factorization.

12292590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409763.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12292590 is about 3506.0790065257. The cubic root of 12292590 is about 230.7886599881.

The spelling of 12292590 in words is "twelve million, two hundred ninety-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 409753 819506 1229259 2048765 2458518 4097530 6146295 12292590