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258930 = 23357137
BaseRepresentation
bin111111001101110010
3111011012000
4333031302
531241210
65314430
72125620
oct771562
9434160
10258930
111675a1
12105a16
1390b19
146a510
1551ac0
hex3f372

258930 has 64 divisors (see below), whose sum is σ = 794880. Its totient is φ = 58752.

The previous prime is 258919. The next prime is 258949. The reversal of 258930 is 39852.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 258894 and 258903.

It is a congruent number.

It is an unprimeable number.

258930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822 + ... + 1958.

It is an arithmetic number, because the mean of its divisors is an integer number (12420).

2258930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397440).

258930 is an abundant number, since it is smaller than the sum of its proper divisors (535950).

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

258930 is a wasteful number, since it uses less digits than its factorization.

258930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 258930 is about 508.8516483220. The cubic root of 258930 is about 63.7373677393.

The spelling of 258930 in words is "two hundred fifty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 137 189 210 270 274 315 378 411 630 685 822 945 959 1233 1370 1890 1918 2055 2466 2877 3699 4110 4795 5754 6165 7398 8631 9590 12330 14385 17262 18495 25893 28770 36990 43155 51786 86310 129465 258930