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12920193 = 32111310039
BaseRepresentation
bin110001010010…
…010110000001
3220022102011200
4301102112001
511301421233
61140531413
7214551126
oct61222601
926272150
1012920193
117325150
1243b0b69
1328a4ab0
141a0474d
151203313
hexc52581

12920193 has 24 divisors (see below), whose sum is σ = 21927360. Its totient is φ = 7227360.

The previous prime is 12920183. The next prime is 12920203. The reversal of 12920193 is 39102921.

It is an interprime number because it is at equal distance from previous prime (12920183) and next prime (12920203).

It is not a de Polignac number, because 12920193 - 24 = 12920177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12920183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3733 + ... + 6306.

It is an arithmetic number, because the mean of its divisors is an integer number (913640).

Almost surely, 212920193 is an apocalyptic number.

12920193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12920193 is a deficient number, since it is larger than the sum of its proper divisors (9007167).

12920193 is a wasteful number, since it uses less digits than its factorization.

12920193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10069 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12920193 is about 3594.4669980402. The cubic root of 12920193 is about 234.6513193285.

The spelling of 12920193 in words is "twelve million, nine hundred twenty thousand, one hundred ninety-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 10039 30117 90351 110429 130507 331287 391521 993861 1174563 1435577 4306731 12920193