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12579980 = 2257591523
BaseRepresentation
bin101111111111…
…010010001100
3212200010111012
4233333102030
511210024410
61125344352
7211633220
oct57772214
925603435
1012579980
117112586
1242680b8
1327b5c9a
141956780
151187605
hexbff48c

12579980 has 48 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 4237248.

The previous prime is 12579971. The next prime is 12579991. The reversal of 12579980 is 8997521.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7499 + ... + 9021.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 212579980 is an apocalyptic number.

12579980 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 12579980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

12579980 is an abundant number, since it is smaller than the sum of its proper divisors (18143860).

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

12579980 is a wasteful number, since it uses less digits than its factorization.

12579980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 12579980 is about 3546.8267507731. The cubic root of 12579980 is about 232.5733687593.

The spelling of 12579980 in words is "twelve million, five hundred seventy-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1523 1652 2065 3046 4130 6092 7615 8260 10661 15230 21322 30460 42644 53305 89857 106610 179714 213220 359428 449285 628999 898570 1257998 1797140 2515996 3144995 6289990 12579980