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30564006 = 23114759167
BaseRepresentation
bin111010010010…
…1111010100110
32010111210221020
41310211322212
530311022011
63011032010
7520534614
oct164457246
963453836
1030564006
1116286210
12a29b606
136441915
1440b86b4
152a3b006
hex1d25ea6

30564006 has 64 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 8857760.

The previous prime is 30563963. The next prime is 30564007. The reversal of 30564006 is 60046503.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30564007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182935 + ... + 183101.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 230564006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30564006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

30564006 is an abundant number, since it is smaller than the sum of its proper divisors (39108954).

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

30564006 is a wasteful number, since it uses less digits than its factorization.

30564006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 30564006 is about 5528.4723025443. The cubic root of 30564006 is about 312.6583935165.

The spelling of 30564006 in words is "thirty million, five hundred sixty-four thousand, six".

Divisors: 1 2 3 6 11 22 33 47 59 66 94 118 141 167 177 282 334 354 501 517 649 1002 1034 1298 1551 1837 1947 2773 3102 3674 3894 5511 5546 7849 8319 9853 11022 15698 16638 19706 23547 29559 30503 47094 59118 61006 86339 91509 108383 172678 183018 216766 259017 325149 463091 518034 650298 926182 1389273 2778546 5094001 10188002 15282003 30564006