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12042580 = 22511194367
BaseRepresentation
bin101101111100…
…000101010100
3211122211022111
4231330011110
511040330310
61110040404
7204234364
oct55740524
924584274
1012042580
116885850
124049104
1326584b4
1418569a4
1510cd28a
hexb7c154

12042580 has 96 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 3991680.

The previous prime is 12042557. The next prime is 12042581. The reversal of 12042580 is 8524021.

12042580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179707 + ... + 179773.

It is an arithmetic number, because the mean of its divisors is an integer number (314160).

Almost surely, 212042580 is an apocalyptic number.

12042580 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 12042580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

12042580 is an abundant number, since it is smaller than the sum of its proper divisors (18116780).

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

12042580 is a wasteful number, since it uses less digits than its factorization.

12042580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12042580 is about 3470.2420664847. The cubic root of 12042580 is about 229.2133173715.

The spelling of 12042580 in words is "twelve million, forty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 43 44 55 67 76 86 95 110 134 172 190 209 215 220 268 335 380 418 430 473 670 737 817 836 860 946 1045 1273 1340 1474 1634 1892 2090 2365 2546 2881 2948 3268 3685 4085 4180 4730 5092 5762 6365 7370 8170 8987 9460 11524 12730 14003 14405 14740 16340 17974 25460 28006 28810 31691 35948 44935 54739 56012 57620 63382 70015 89870 109478 126764 140030 158455 179740 218956 273695 280060 316910 547390 602129 633820 1094780 1204258 2408516 3010645 6021290 12042580