Search a number
-
+
258664020 = 223511533739
BaseRepresentation
bin11110110101011…
…10011001010100
3200000201111022220
433122232121110
51012204222040
641400022340
76260415336
oct1732563124
9600644286
10258664020
1112301111a
12727619b0
1341787144
14264d3456
1517a962d0
hexf6ae654

258664020 has 48 divisors (see below), whose sum is σ = 725081280. Its totient is φ = 68898816.

The previous prime is 258664001. The next prime is 258664033. The reversal of 258664020 is 20466852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67311 + ... + 71049.

It is an arithmetic number, because the mean of its divisors is an integer number (15105860).

Almost surely, 2258664020 is an apocalyptic number.

258664020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258664020 is an abundant number, since it is smaller than the sum of its proper divisors (466417260).

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

258664020 is a wasteful number, since it uses less digits than its factorization.

258664020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 258664020 is about 16083.0351613121. The cubic root of 258664020 is about 637.1553600455.

The spelling of 258664020 in words is "two hundred fifty-eight million, six hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1153 2306 3459 3739 4612 5765 6918 7478 11217 11530 13836 14956 17295 18695 22434 23060 34590 37390 44868 56085 69180 74780 112170 224340 4311067 8622134 12933201 17244268 21555335 25866402 43110670 51732804 64666005 86221340 129332010 258664020