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258020 = 22571997
BaseRepresentation
bin111110111111100100
3111002221022
4332333210
531224040
65310312
72123150
oct767744
9432838
10258020
11166944
12105398
1390599
146a060
15516b5
hex3efe4

258020 has 48 divisors (see below), whose sum is σ = 658560. Its totient is φ = 82944.

The previous prime is 258019. The next prime is 258023. The reversal of 258020 is 20852.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 258020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2612 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (13720).

2258020 is an apocalyptic number.

258020 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 258020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329280).

258020 is an abundant number, since it is smaller than the sum of its proper divisors (400540).

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

258020 is a wasteful number, since it uses less digits than its factorization.

258020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 258020 is about 507.9566910673. The cubic root of 258020 is about 63.6626125479.

Adding to 258020 its reverse (20852), we get a palindrome (278872).

The spelling of 258020 in words is "two hundred fifty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 97 133 140 190 194 266 380 388 485 532 665 679 970 1330 1358 1843 1940 2660 2716 3395 3686 6790 7372 9215 12901 13580 18430 25802 36860 51604 64505 129010 258020