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16230564 = 2233723067
BaseRepresentation
bin111101111010…
…100010100100
31010112121011000
4331322202210
513123334224
61335513300
7254646300
oct75724244
933477130
1016230564
119186299
125528830
1334937ac
142226d00
1516590c9
hexf7a8a4

16230564 has 72 divisors (see below), whose sum is σ = 48965280. Its totient is φ = 4635792.

The previous prime is 16230553. The next prime is 16230569. The reversal of 16230564 is 46503261.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16230569) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3759 + ... + 6825.

Almost surely, 216230564 is an apocalyptic number.

16230564 is a gapful number since it is divisible by the number (14) 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 16230564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24482640).

16230564 is an abundant number, since it is smaller than the sum of its proper divisors (32734716).

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

16230564 is a wasteful number, since it uses less digits than its factorization.

16230564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 16230564 is about 4028.7174137683. The cubic root of 16230564 is about 253.1888272512.

The spelling of 16230564 in words is "sixteen million, two hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 3067 5292 6134 9201 12268 18402 21469 27603 36804 42938 55206 64407 82809 85876 110412 128814 150283 165618 193221 257628 300566 331236 386442 450849 579663 601132 772884 901698 1159326 1352547 1803396 2318652 2705094 4057641 5410188 8115282 16230564