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12930360 = 2335277389
BaseRepresentation
bin110001010100…
…110100111000
3220022221010020
4301110310320
511302232420
61141050440
7214622562
oct61246470
926287106
1012930360
117331853
1243b6a20
1328a9601
141a08332
151206340
hexc54d38

12930360 has 64 divisors (see below), whose sum is σ = 39031200. Its totient is φ = 3426816.

The previous prime is 12930341. The next prime is 12930367. The reversal of 12930360 is 6303921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12930360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12930367) 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, 33046 + ... + 33434.

Almost surely, 212930360 is an apocalyptic number.

12930360 is a gapful number since it is divisible by the number (10) 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 12930360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19515600).

12930360 is an abundant number, since it is smaller than the sum of its proper divisors (26100840).

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

12930360 is a wasteful number, since it uses less digits than its factorization.

12930360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 12930360 is about 3595.8809768956. The cubic root of 12930360 is about 234.7128528382.

The spelling of 12930360 in words is "twelve million, nine hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 389 554 778 831 1108 1167 1385 1556 1662 1945 2216 2334 2770 3112 3324 3890 4155 4668 5540 5835 6648 7780 8310 9336 11080 11670 15560 16620 23340 33240 46680 107753 215506 323259 431012 538765 646518 862024 1077530 1293036 1616295 2155060 2586072 3232590 4310120 6465180 12930360