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258000660 = 223352320773
BaseRepresentation
bin11110110000011…
…00011100010100
3122222110210101000
433120030130110
51012022010120
641333503300
76251653341
oct1730143424
9588423330
10258000660
111226a8795
12724a1b30
13415b4218
142639d7c8
15179b4990
hexf60c714

258000660 has 96 divisors (see below), whose sum is σ = 837607680. Its totient is φ = 65805696.

The previous prime is 258000623. The next prime is 258000679. The reversal of 258000660 is 66000852.

258000660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2034 + ... + 22806.

It is an arithmetic number, because the mean of its divisors is an integer number (8725080).

Almost surely, 2258000660 is an apocalyptic number.

258000660 is a gapful number since it is divisible by the number (20) 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 258000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418803840).

258000660 is an abundant number, since it is smaller than the sum of its proper divisors (579607020).

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

258000660 is a wasteful number, since it uses less digits than its factorization.

258000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20814 (or 20806 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 258000660 is about 16062.3989490985. The cubic root of 258000660 is about 636.6102188867.

The spelling of 258000660 in words is "two hundred fifty-eight million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 20773 41546 62319 83092 103865 124638 186957 207730 249276 311595 373914 415460 477779 560871 623190 747828 934785 955558 1121742 1246380 1433337 1869570 1911116 2243484 2388895 2804355 2866674 3739140 4300011 4777790 5608710 5733348 7166685 8600022 9555580 11217420 12900033 14333370 17200044 21500055 25800066 28666740 43000110 51600132 64500165 86000220 129000330 258000660