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13200192 = 26337639
BaseRepresentation
bin110010010110…
…101101000000
3220211122021000
4302112231000
511334401232
61150532000
7220125345
oct62265500
926748230
1013200192
1174a6555
124507000
132972385
141a787cc
15125b27c
hexc96b40

13200192 has 56 divisors (see below), whose sum is σ = 38811200. Its totient is φ = 4399488.

The previous prime is 13200179. The next prime is 13200199. The reversal of 13200192 is 29100231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200199) 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, 2092 + ... + 5547.

Almost surely, 213200192 is an apocalyptic number.

13200192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13200192 is an abundant number, since it is smaller than the sum of its proper divisors (25611008).

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

13200192 is an equidigital number, since it uses as much as digits as its factorization.

13200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13200192 is about 3633.2068479513. The cubic root of 13200192 is about 236.3342959456.

The spelling of 13200192 in words is "thirteen million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 7639 15278 22917 30556 45834 61112 68751 91668 122224 137502 183336 206253 244448 275004 366672 412506 488896 550008 733344 825012 1100016 1466688 1650024 2200032 3300048 4400064 6600096 13200192