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3066112 = 2872959
BaseRepresentation
bin1011101100100100000000
312202202220201
423230210000
51241103422
6145414544
735030050
oct13544400
95682821
103066112
111804685
12103a454
1383478a
1459b560
15408727
hex2ec900

3066112 has 72 divisors (see below), whose sum is σ = 7358400. Its totient is φ = 1247232.

The previous prime is 3066109. The next prime is 3066127. The reversal of 3066112 is 2116603.

It is a self number, because there is not a number n which added to its sum of digits gives 3066112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51939 + ... + 51997.

It is an arithmetic number, because the mean of its divisors is an integer number (102200).

Almost surely, 23066112 is an apocalyptic number.

3066112 is a gapful number since it is divisible by the number (32) 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 3066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679200).

3066112 is an abundant number, since it is smaller than the sum of its proper divisors (4292288).

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

3066112 is an equidigital number, since it uses as much as digits as its factorization.

3066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3066112 is about 1751.0316958867. The cubic root of 3066112 is about 145.2767129739.

The spelling of 3066112 in words is "three million, sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 59 64 112 116 118 128 203 224 232 236 256 406 413 448 464 472 812 826 896 928 944 1624 1652 1711 1792 1856 1888 3248 3304 3422 3712 3776 6496 6608 6844 7424 7552 11977 12992 13216 13688 15104 23954 25984 26432 27376 47908 51968 52864 54752 95816 105728 109504 191632 219008 383264 438016 766528 1533056 3066112