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12640860 = 22375172
BaseRepresentation
bin110000001110…
…001001011100
3212210020000000
4300032021130
511214001420
61130534300
7212305551
oct60161134
925706000
1012640860
1171542a1
124297390
1328078cb
141970a28
15119a690
hexc0e25c

12640860 has 144 divisors (see below), whose sum is σ = 42292320. Its totient is φ = 3172608.

The previous prime is 12640841. The next prime is 12640867. The reversal of 12640860 is 6804621.

12640860 is a `hidden beast` number, since 12 + 640 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743572 + ... + 743588.

It is a vampire number, since it can be written as 26014860 (with its own digits).

Almost surely, 212640860 is an apocalyptic number.

12640860 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 12640860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21146160).

12640860 is an abundant number, since it is smaller than the sum of its proper divisors (29651460).

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

12640860 is an equidigital number, since it uses as much as digits as its factorization.

12640860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12640860 is about 3555.3987118184. The cubic root of 12640860 is about 232.9479397647.

The spelling of 12640860 in words is "twelve million, six hundred forty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 289 306 324 340 405 459 486 510 540 578 612 729 765 810 867 918 972 1020 1156 1215 1377 1445 1458 1530 1620 1734 1836 2187 2295 2430 2601 2754 2890 2916 3060 3468 3645 4131 4335 4374 4590 4860 5202 5508 5780 6885 7290 7803 8262 8670 8748 9180 10404 10935 12393 13005 13770 14580 15606 16524 17340 20655 21870 23409 24786 26010 27540 31212 37179 39015 41310 43740 46818 49572 52020 61965 70227 74358 78030 82620 93636 117045 123930 140454 148716 156060 185895 210681 234090 247860 280908 351135 371790 421362 468180 632043 702270 743580 842724 1053405 1264086 1404540 2106810 2528172 3160215 4213620 6320430 12640860