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12664620 = 2233547499
BaseRepresentation
bin110000010011…
…111100101100
3212211102121000
4300103330230
511220231440
61131240300
7212435043
oct60237454
925742530
1012664620
117170131
1242a9090
132815677
14197955a
1511a2730
hexc13f2c

12664620 has 96 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 3298752.

The previous prime is 12664607. The next prime is 12664669. The reversal of 12664620 is 2646621.

It is a happy number.

12664620 is a `hidden beast` number, since 12 + 6 + 646 + 2 + 0 = 666.

12664620 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25131 + ... + 25629.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 212664620 is an apocalyptic number.

12664620 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 12664620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

12664620 is an abundant number, since it is smaller than the sum of its proper divisors (27655380).

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

12664620 is a wasteful number, since it uses less digits than its factorization.

12664620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12664620 is about 3558.7385405506. The cubic root of 12664620 is about 233.0937995366.

It can be divided in two parts, 1266 and 4620, that added together give a triangular number (5886 = T108).

The spelling of 12664620 in words is "twelve million, six hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 499 540 564 705 846 940 998 1269 1410 1497 1692 1996 2115 2495 2538 2820 2994 4230 4491 4990 5076 5988 6345 7485 8460 8982 9980 12690 13473 14970 17964 22455 23453 25380 26946 29940 44910 46906 53892 67365 70359 89820 93812 117265 134730 140718 211077 234530 269460 281436 351795 422154 469060 633231 703590 844308 1055385 1266462 1407180 2110770 2532924 3166155 4221540 6332310 12664620