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12077268 = 2237612357
BaseRepresentation
bin101110000100…
…100011010100
3211201120220020
4232010203110
511042433033
61110505140
7204440460
oct56044324
924646806
1012077268
1168a9915
1240651b0
13266b218
1418654a0
1510d86b3
hexb848d4

12077268 has 48 divisors (see below), whose sum is σ = 32747904. Its totient is φ = 3392640.

The previous prime is 12077267. The next prime is 12077287. The reversal of 12077268 is 86277021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12077267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3946 + ... + 6302.

It is an arithmetic number, because the mean of its divisors is an integer number (682248).

Almost surely, 212077268 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 12077268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373952).

12077268 is an abundant number, since it is smaller than the sum of its proper divisors (20670636).

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

12077268 is a wasteful number, since it uses less digits than its factorization.

12077268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 12077268 is about 3475.2363948370. The cubic root of 12077268 is about 229.4331852528.

The spelling of 12077268 in words is "twelve million, seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2357 2562 4714 5124 7071 9428 14142 16499 28284 32998 49497 65996 98994 143777 197988 287554 431331 575108 862662 1006439 1725324 2012878 3019317 4025756 6038634 12077268