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12604020 = 223511132113
BaseRepresentation
bin110000000101…
…001001110100
3212201100110120
4300011021310
511211312040
61130051540
7212063262
oct60051164
925640416
1012604020
117129650
124279bb0
1327c3c00
141961432
15118e7d0
hexc05274

12604020 has 144 divisors (see below), whose sum is σ = 42057792. Its totient is φ = 2795520.

The previous prime is 12604019. The next prime is 12604057. The reversal of 12604020 is 2040621.

12604020 = 2232 + 2242 + ... + 3652.

It is a super-2 number, since 2×126040202 = 317722640320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111484 + ... + 111596.

It is an arithmetic number, because the mean of its divisors is an integer number (292068).

Almost surely, 212604020 is an apocalyptic number.

12604020 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 12604020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028896).

12604020 is an abundant number, since it is smaller than the sum of its proper divisors (29453772).

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

12604020 is a wasteful number, since it uses less digits than its factorization.

12604020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12604020 is about 3550.2140780522. The cubic root of 12604020 is about 232.7214216206.

Adding to 12604020 its reverse (2040621), we get a palindrome (14644641).

The spelling of 12604020 in words is "twelve million, six hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 113 130 132 143 156 165 169 195 220 226 260 286 330 338 339 390 429 452 507 565 572 660 676 678 715 780 845 858 1014 1130 1243 1356 1430 1469 1690 1695 1716 1859 2028 2145 2260 2486 2535 2860 2938 3380 3390 3718 3729 4290 4407 4972 5070 5577 5876 6215 6780 7345 7436 7458 8580 8814 9295 10140 11154 12430 14690 14916 16159 17628 18590 18645 19097 22035 22308 24860 27885 29380 32318 37180 37290 38194 44070 48477 55770 57291 64636 74580 76388 80795 88140 95485 96954 111540 114582 161590 190970 193908 210067 229164 242385 286455 323180 381940 420134 484770 572910 630201 840268 969540 1050335 1145820 1260402 2100670 2520804 3151005 4201340 6302010 12604020