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12285152 = 2511172053
BaseRepresentation
bin101110110111…
…010011100000
3212010011001122
4232313103200
511121111102
61115151412
7206264525
oct56672340
925104048
1012285152
116a31020
124145568
132711a29
1418bb14c
15112a0a2
hexbb74e0

12285152 has 48 divisors (see below), whose sum is σ = 27950832. Its totient is φ = 5253120.

The previous prime is 12285137. The next prime is 12285167. The reversal of 12285152 is 25158221.

It is an interprime number because it is at equal distance from previous prime (12285137) and next prime (12285167).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4958 + ... + 7010.

It is an arithmetic number, because the mean of its divisors is an integer number (582309).

Almost surely, 212285152 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 12285152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975416).

12285152 is an abundant number, since it is smaller than the sum of its proper divisors (15665680).

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

12285152 is a wasteful number, since it uses less digits than its factorization.

12285152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its digits is 1600, while the sum is 26.

The square root of 12285152 is about 3505.0181169289. The cubic root of 12285152 is about 230.7421020645.

The spelling of 12285152 in words is "twelve million, two hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2053 2992 4106 5984 8212 16424 22583 32848 34901 45166 65696 69802 90332 139604 180664 279208 361328 383911 558416 722656 767822 1116832 1535644 3071288 6142576 12285152