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6066112 = 261323317
BaseRepresentation
bin10111001000111111000000
3102102012010211
4113020333000
53023103422
6334003504
7102363313
oct27107700
912365124
106066112
113473618
122046594
131345120
14b3c97a
157ec577
hex5c8fc0

6066112 has 56 divisors (see below), whose sum is σ = 13569696. Its totient is φ = 2669568.

The previous prime is 6066101. The next prime is 6066119. The reversal of 6066112 is 2116606.

6066112 = T403 + T404 + ... + T466.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18978 + ... + 19294.

It is an arithmetic number, because the mean of its divisors is an integer number (242316).

Almost surely, 26066112 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 6066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784848).

6066112 is an abundant number, since it is smaller than the sum of its proper divisors (7503584).

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

6066112 is a wasteful number, since it uses less digits than its factorization.

6066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 6066112 is about 2462.9478272996. The cubic root of 6066112 is about 182.3770310669.

The spelling of 6066112 in words is "six million, sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 317 368 416 598 634 736 832 1196 1268 1472 2392 2536 4121 4784 5072 7291 8242 9568 10144 14582 16484 19136 20288 29164 32968 58328 65936 94783 116656 131872 189566 233312 263744 379132 466624 758264 1516528 3033056 6066112