Search a number
-
+
258105860 = 22535273659
BaseRepresentation
bin11110110001001…
…10001000000100
3122222200010200022
433120212020010
51012033341420
641340034312
76252602135
oct1730461004
9588603608
10258105860
1112276a831
1272532998
134162007c
14263c9c8c
15179d5c25
hexf626204

258105860 has 24 divisors (see below), whose sum is σ = 542324160. Its totient is φ = 103184864.

The previous prime is 258105857. The next prime is 258105863. The reversal of 258105860 is 68501852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (258105857) and next prime (258105863).

It is a self number, because there is not a number n which added to its sum of digits gives 258105860.

It is not an unprimeable number, because it can be changed into a prime (258105863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68711 + ... + 72369.

It is an arithmetic number, because the mean of its divisors is an integer number (22596840).

Almost surely, 2258105860 is an apocalyptic number.

258105860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258105860 is an abundant number, since it is smaller than the sum of its proper divisors (284218300).

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

258105860 is a wasteful number, since it uses less digits than its factorization.

258105860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 258105860 is about 16065.6733441210. The cubic root of 258105860 is about 636.6967332578.

The spelling of 258105860 in words is "two hundred fifty-eight million, one hundred five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 3527 3659 7054 7318 14108 14636 17635 18295 35270 36590 70540 73180 12905293 25810586 51621172 64526465 129052930 258105860