Search a number
-
+
258260130 = 23357313103
BaseRepresentation
bin11110110010010…
…11110010100010
3122222221222022000
433121023302202
51012103311010
641343224430
76254113662
oct1731136242
9588858260
10258260130
11122865727
12725a8116
134167535b
142642a1a2
1517a167c0
hexf64bca2

258260130 has 64 divisors (see below), whose sum is σ = 698181120. Its totient is φ = 67920768.

The previous prime is 258260099. The next prime is 258260147. The reversal of 258260130 is 31062852.

258260130 is a `hidden beast` number, since 2 + 58 + 2 + 601 + 3 + 0 = 666.

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 = 258260094 and 258260103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13159 + ... + 26261.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2258260130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258260130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

258260130 is an abundant number, since it is smaller than the sum of its proper divisors (439920990).

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

258260130 is a wasteful number, since it uses less digits than its factorization.

258260130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192 (or 13186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 258260130 is about 16070.4738573572. The cubic root of 258260130 is about 636.8235593105.

The spelling of 258260130 in words is "two hundred fifty-eight million, two hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1314 1971 2190 3285 3942 6570 9855 13103 19710 26206 39309 65515 78618 117927 131030 196545 235854 353781 393090 589635 707562 956519 1179270 1768905 1913038 2869557 3537810 4782595 5739114 8608671 9565190 14347785 17217342 25826013 28695570 43043355 51652026 86086710 129130065 258260130