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258508660 = 22540132233
BaseRepresentation
bin11110110100010…
…00011101110100
3200000102121012211
433122020131310
51012134234120
641352423204
76256200364
oct1732103564
9600377184
10258508660
11122a15423
12726a7b04
1341731507
14264929a4
1517a6525a
hexf688774

258508660 has 24 divisors (see below), whose sum is σ = 544238856. Its totient is φ = 103142400.

The previous prime is 258508643. The next prime is 258508673. The reversal of 258508660 is 66805852.

It can be written as a sum of positive squares in 4 ways, for example, as 129549924 + 128958736 = 11382^2 + 11356^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8097 + ... + 24136.

It is an arithmetic number, because the mean of its divisors is an integer number (22676619).

Almost surely, 2258508660 is an apocalyptic number.

258508660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258508660 is an abundant number, since it is smaller than the sum of its proper divisors (285730196).

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

258508660 is a wasteful number, since it uses less digits than its factorization.

258508660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32643 (or 32641 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 258508660 is about 16078.2045017471. The cubic root of 258508660 is about 637.0277707482.

The spelling of 258508660 in words is "two hundred fifty-eight million, five hundred eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 4010 8020 32233 64466 128932 161165 322330 644660 12925433 25850866 51701732 64627165 129254330 258508660