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12993912 = 2333431399
BaseRepresentation
bin110001100100…
…010101111000
3220110011022000
4301210111320
511311301122
61142301000
7215306061
oct61442570
926404260
1012993912
117375578
124427760
1328cc509
141a23568
15121a0ac
hexc64578

12993912 has 64 divisors (see below), whose sum is σ = 36960000. Its totient is φ = 4227552.

The previous prime is 12993907. The next prime is 12993917. The reversal of 12993912 is 21939921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12993907) and next prime (12993917).

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 (12993917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8589 + ... + 9987.

It is an arithmetic number, because the mean of its divisors is an integer number (577500).

Almost surely, 212993912 is an apocalyptic number.

12993912 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 12993912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480000).

12993912 is an abundant number, since it is smaller than the sum of its proper divisors (23966088).

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

12993912 is a wasteful number, since it uses less digits than its factorization.

12993912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

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

The square root of 12993912 is about 3604.7069228996. The cubic root of 12993912 is about 235.0967581035.

The spelling of 12993912 in words is "twelve million, nine hundred ninety-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1399 1548 2322 2798 3096 4197 4644 5596 8394 9288 11192 12591 16788 25182 33576 37773 50364 60157 75546 100728 120314 151092 180471 240628 302184 360942 481256 541413 721884 1082826 1443768 1624239 2165652 3248478 4331304 6496956 12993912