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12994320 = 2435291867
BaseRepresentation
bin110001100100…
…011100010000
3220110011212010
4301210130100
511311304240
61142302520
7215310213
oct61443420
926404763
1012994320
117375909
124427a40
1328cc761
141a2377a
15121a280
hexc64710

12994320 has 80 divisors (see below), whose sum is σ = 41693760. Its totient is φ = 3343872.

The previous prime is 12994297. The next prime is 12994321. The reversal of 12994320 is 2349921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12994321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6027 + ... + 7893.

It is an arithmetic number, because the mean of its divisors is an integer number (521172).

Almost surely, 212994320 is an apocalyptic number.

12994320 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 12994320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20846880).

12994320 is an abundant number, since it is smaller than the sum of its proper divisors (28699440).

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

12994320 is a wasteful number, since it uses less digits than its factorization.

12994320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 12994320 is about 3604.7635151283. The cubic root of 12994320 is about 235.0992187038.

It can be divided in two parts, 129 and 94320, that added together give a palindrome (94449).

The spelling of 12994320 in words is "twelve million, nine hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 1867 2320 3480 3734 5601 6960 7468 9335 11202 14936 18670 22404 28005 29872 37340 44808 54143 56010 74680 89616 108286 112020 149360 162429 216572 224040 270715 324858 433144 448080 541430 649716 812145 866288 1082860 1299432 1624290 2165720 2598864 3248580 4331440 6497160 12994320