Search a number
-
+
258297930 = 23351186969
BaseRepresentation
bin11110110010101…
…01000001001010
3200000000220011000
433121111001022
51012111013210
641344115430
76254332122
oct1731250112
9600026130
10258297930
11122891070
1272605b76
1341689617
1426439c82
1517a22ac0
hexf65504a

258297930 has 64 divisors (see below), whose sum is σ = 751420800. Its totient is φ = 62616960.

The previous prime is 258297911. The next prime is 258297937. The reversal of 258297930 is 39792852.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (258297937) 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 31 ways as a sum of consecutive naturals, for example, 40515 + ... + 46454.

It is an arithmetic number, because the mean of its divisors is an integer number (11740950).

Almost surely, 2258297930 is an apocalyptic number.

258297930 is an abundant number, since it is smaller than the sum of its proper divisors (493122870).

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

258297930 is a wasteful number, since it uses less digits than its factorization.

258297930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86996 (or 86990 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 258297930 is about 16071.6498841905. The cubic root of 258297930 is about 636.8546271544.

The spelling of 258297930 in words is "two hundred fifty-eight million, two hundred ninety-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 86969 173938 260907 434845 521814 782721 869690 956659 1304535 1565442 1913318 2348163 2609070 2869977 3913605 4696326 4783295 5739954 7827210 8609931 9566590 11740815 14349885 17219862 23481630 25829793 28699770 43049655 51659586 86099310 129148965 258297930