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258340960 = 2551614631
BaseRepresentation
bin11110110010111…
…11100001100000
3200000010002011201
433121133201200
51012113402320
641345050544
76254601433
oct1731374140
9600102151
10258340960
11122910429
1272626a54
13416a3097
142644b81a
1517a3070a
hexf65f860

258340960 has 24 divisors (see below), whose sum is σ = 610330896. Its totient is φ = 103336320.

The previous prime is 258340933. The next prime is 258340963. The reversal of 258340960 is 69043852.

It is a super-2 number, since 2×2583409602 = 133480103227443200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258340963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 807156 + ... + 807475.

It is an arithmetic number, because the mean of its divisors is an integer number (25430454).

Almost surely, 2258340960 is an apocalyptic number.

258340960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258340960 is an abundant number, since it is smaller than the sum of its proper divisors (351989936).

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

258340960 is a wasteful number, since it uses less digits than its factorization.

258340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614646 (or 1614638 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 258340960 is about 16072.9885211183. The cubic root of 258340960 is about 636.8899898497.

The spelling of 258340960 in words is "two hundred fifty-eight million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1614631 3229262 6458524 8073155 12917048 16146310 25834096 32292620 51668192 64585240 129170480 258340960