Search a number
-
+
12648620 = 2252331887
BaseRepresentation
bin110000010000…
…000010101100
3212210121122102
4300100002230
511214223440
61131034232
7212340305
oct60200254
925717572
1012648620
11715a106
12429b978
13280b2ba
1419737ac
15119cb15
hexc100ac

12648620 has 48 divisors (see below), whose sum is σ = 28643328. Its totient is φ = 4678080.

The previous prime is 12648613. The next prime is 12648631. The reversal of 12648620 is 2684621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13817 + ... + 14703.

It is an arithmetic number, because the mean of its divisors is an integer number (596736).

Almost surely, 212648620 is an apocalyptic number.

12648620 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 12648620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321664).

12648620 is an abundant number, since it is smaller than the sum of its proper divisors (15994708).

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

12648620 is a wasteful number, since it uses less digits than its factorization.

12648620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 12648620 is about 3556.4898425273. The cubic root of 12648620 is about 232.9955975517.

The spelling of 12648620 in words is "twelve million, six hundred forty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 887 1426 1774 2852 3548 3565 4435 7130 8870 14260 17740 20401 27497 40802 54994 81604 102005 109988 137485 204010 274970 408020 549940 632431 1264862 2529724 3162155 6324310 12648620