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12192416 = 25419293
BaseRepresentation
bin101110100000…
…101010100000
3211221102211222
4232200222200
511110124131
61113154212
7205430255
oct56405240
924842758
1012192416
116978385
1240bb968
1326ab762
14189542c
15110c87b
hexba0aa0

12192416 has 24 divisors (see below), whose sum is σ = 24591924. Its totient is φ = 5946880.

The previous prime is 12192407. The next prime is 12192421. The reversal of 12192416 is 61429121.

It can be written as a sum of positive squares in 2 ways, for example, as 9024016 + 3168400 = 3004^2 + 1780^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3335 + ... + 5958.

Almost surely, 212192416 is an apocalyptic number.

12192416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12192416 is an abundant number, since it is smaller than the sum of its proper divisors (12399508).

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

12192416 is an equidigital number, since it uses as much as digits as its factorization.

12192416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9336 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 12192416 is about 3491.7640241001. The cubic root of 12192416 is about 230.1600398431.

It can be divided in two parts, 121 and 92416, that multiplied together give a square (11182336 = 33442).

The spelling of 12192416 in words is "twelve million, one hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 9293 18586 37172 74344 148688 297376 381013 762026 1524052 3048104 6096208 12192416