Search a number
-
+
12566628 = 22322912037
BaseRepresentation
bin101111111100…
…000001100100
3212122110011200
4233330001210
511204113003
61125202500
7211546254
oct57740144
925573150
1012566628
117103548
124260430
1327acb99
141951964
1511836a3
hexbfc064

12566628 has 36 divisors (see below), whose sum is σ = 32863740. Its totient is φ = 4044096.

The previous prime is 12566627. The next prime is 12566629. The reversal of 12566628 is 82666521.

12566628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12566627) and next prime (12566629).

It can be written as a sum of positive squares in 2 ways, for example, as 2377764 + 10188864 = 1542^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12566592 and 12566601.

It is not an unprimeable number, because it can be changed into a prime (12566627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4975 + ... + 7062.

Almost surely, 212566628 is an apocalyptic number.

12566628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12566628 is an abundant number, since it is smaller than the sum of its proper divisors (20297112).

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

12566628 is a wasteful number, since it uses less digits than its factorization.

12566628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076 (or 12071 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12566628 is about 3544.9440051995. The cubic root of 12566628 is about 232.4910575818.

The spelling of 12566628 in words is "twelve million, five hundred sixty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 12037 24074 36111 48148 72222 108333 144444 216666 349073 433332 698146 1047219 1396292 2094438 3141657 4188876 6283314 12566628