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30564300 = 223521317461
BaseRepresentation
bin111010010010…
…1111111001100
32010111211100010
41310211333030
530311024200
63011033220
7520535514
oct164457714
963454303
1030564300
1116286458
12a29b810
136441ab0
1440b8844
152a3b150
hex1d25fcc

30564300 has 144 divisors (see below), whose sum is σ = 101056032. Its totient is φ = 7065600.

The previous prime is 30564299. The next prime is 30564307. The reversal of 30564300 is 346503.

It is not an unprimeable number, because it can be changed into a prime (30564307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66070 + ... + 66530.

It is an arithmetic number, because the mean of its divisors is an integer number (701778).

Almost surely, 230564300 is an apocalyptic number.

30564300 is a gapful number since it is divisible by the number (30) 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 30564300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50528016).

30564300 is an abundant number, since it is smaller than the sum of its proper divisors (70491732).

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

30564300 is a wasteful number, since it uses less digits than its factorization.

30564300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 30564300 is about 5528.4988921044. The cubic root of 30564300 is about 312.6593960168.

The spelling of 30564300 in words is "thirty million, five hundred sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 461 510 650 663 780 850 884 922 975 1020 1105 1275 1300 1326 1383 1700 1844 1950 2210 2305 2550 2652 2766 3315 3900 4420 4610 5100 5525 5532 5993 6630 6915 7837 9220 11050 11525 11986 13260 13830 15674 16575 17979 22100 23050 23511 23972 27660 29965 31348 33150 34575 35958 39185 46100 47022 59930 66300 69150 71916 78370 89895 94044 101881 117555 119860 138300 149825 156740 179790 195925 203762 235110 299650 305643 359580 391850 407524 449475 470220 509405 587775 599300 611286 783700 898950 1018810 1175550 1222572 1528215 1797900 2037620 2351100 2547025 3056430 5094050 6112860 7641075 10188100 15282150 30564300