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258134020 = 22582915569
BaseRepresentation
bin11110110001011…
…01000000000100
3122222201120022021
433120231000010
51012040242040
641340412524
76253050214
oct1730550004
9588646267
10258134020
11122789a01
1272547144
134162cb31
14263d6244
15179de24a
hexf62d004

258134020 has 24 divisors (see below), whose sum is σ = 542770200. Its totient is φ = 103122432.

The previous prime is 258134003. The next prime is 258134021. The reversal of 258134020 is 20431852.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 236175424 = 4686^2 + 15368^2 .

It is not an unprimeable number, because it can be changed into a prime (258134021) 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, 8796 + ... + 24364.

It is an arithmetic number, because the mean of its divisors is an integer number (22615425).

Almost surely, 2258134020 is an apocalyptic number.

258134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258134020 is an abundant number, since it is smaller than the sum of its proper divisors (284636180).

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

258134020 is a wasteful number, since it uses less digits than its factorization.

258134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16407 (or 16405 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 258134020 is about 16066.5497229492. The cubic root of 258134020 is about 636.7198874887.

Adding to 258134020 its reverse (20431852), we get a palindrome (278565872).

The spelling of 258134020 in words is "two hundred fifty-eight million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 829 1658 3316 4145 8290 15569 16580 31138 62276 77845 155690 311380 12906701 25813402 51626804 64533505 129067010 258134020