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12994480 = 2451983103
BaseRepresentation
bin110001100100…
…011110110000
3220110012002001
4301210132300
511311310410
61142303344
7215310532
oct61443660
926405061
1012994480
117375a44
124427b54
1328cc855
141a23852
15121a33a
hexc647b0

12994480 has 80 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 4817664.

The previous prime is 12994469. The next prime is 12994481. The reversal of 12994480 is 8449921.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12994481) 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, 126109 + ... + 126211.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 212994480 is an apocalyptic number.

12994480 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 12994480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

12994480 is an abundant number, since it is smaller than the sum of its proper divisors (19503440).

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

12994480 is a wasteful number, since it uses less digits than its factorization.

12994480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 12994480 is about 3604.7857079166. The cubic root of 12994480 is about 235.1001836311.

The spelling of 12994480 in words is "twelve million, nine hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 83 95 103 152 166 190 206 304 332 380 412 415 515 664 760 824 830 1030 1328 1520 1577 1648 1660 1957 2060 3154 3320 3914 4120 6308 6640 7828 7885 8240 8549 9785 12616 15656 15770 17098 19570 25232 31312 31540 34196 39140 42745 63080 68392 78280 85490 126160 136784 156560 162431 170980 324862 341960 649724 683920 812155 1299448 1624310 2598896 3248620 6497240 12994480