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12993192 = 23321131597
BaseRepresentation
bin110001100100…
…001010101000
3220110010022100
4301210022220
511311240232
61142253400
7215304012
oct61441250
926403270
1012993192
117374a83
124427260
1328cc0a4
141a231b2
151219c7c
hexc642a8

12993192 has 48 divisors (see below), whose sum is σ = 35523540. Its totient is φ = 4290048.

The previous prime is 12993191. The next prime is 12993193. The reversal of 12993192 is 29139921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12993191) and next prime (12993193).

It can be written as a sum of positive squares in 2 ways, for example, as 10150596 + 2842596 = 3186^2 + 1686^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12993191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7338 + ... + 8934.

Almost surely, 212993192 is an apocalyptic number.

12993192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12993192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761770).

12993192 is an abundant number, since it is smaller than the sum of its proper divisors (22530348).

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

12993192 is a wasteful number, since it uses less digits than its factorization.

12993192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1715 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 12993192 is about 3604.6070520932. The cubic root of 12993192 is about 235.0924157419.

The spelling of 12993192 in words is "twelve million, nine hundred ninety-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 1597 2034 2712 3194 4068 4791 6388 8136 9582 12776 14373 19164 28746 38328 57492 114984 180461 360922 541383 721844 1082766 1443688 1624149 2165532 3248298 4331064 6496596 12993192