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12076768 = 251123119
BaseRepresentation
bin101110000100…
…011011100000
3211201120012201
4232010123200
511042424033
61110502544
7204436144
oct56043340
924646181
1012076768
1168a9500
124064a54
13266ac22
141865224
1510d847d
hexb846e0

12076768 has 36 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 5487680.

The previous prime is 12076741. The next prime is 12076777. The reversal of 12076768 is 86767021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2313 + ... + 5431.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 212076768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12076768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

12076768 is an abundant number, since it is smaller than the sum of its proper divisors (14065712).

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

12076768 is a wasteful number, since it uses less digits than its factorization.

12076768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 12076768 is about 3475.1644565402. The cubic root of 12076768 is about 229.4300190242.

The spelling of 12076768 in words is "twelve million, seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3119 3872 6238 12476 24952 34309 49904 68618 99808 137236 274472 377399 548944 754798 1097888 1509596 3019192 6038384 12076768