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258258060 = 2232510913163
BaseRepresentation
bin11110110010010…
…11010010001100
3122222221212110100
433121023102030
51012103224220
641343211100
76254104644
oct1731132214
9588855410
10258258060
11122864115
12725a6a90
1341674428
1426429524
1517a15d90
hexf64b48c

258258060 has 72 divisors (see below), whose sum is σ = 790629840. Its totient is φ = 68231808.

The previous prime is 258258059. The next prime is 258258071. The reversal of 258258060 is 60852852.

258258060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13039 + ... + 26201.

It is an arithmetic number, because the mean of its divisors is an integer number (10980970).

Almost surely, 2258258060 is an apocalyptic number.

258258060 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 258258060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395314920).

258258060 is an abundant number, since it is smaller than the sum of its proper divisors (532371780).

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

258258060 is a wasteful number, since it uses less digits than its factorization.

258258060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 258258060 is about 16070.4094534022. The cubic root of 258258060 is about 636.8218578886.

The spelling of 258258060 in words is "two hundred fifty-eight million, two hundred fifty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 13163 19620 26326 39489 52652 65815 78978 118467 131630 157956 197445 236934 263260 394890 473868 592335 789780 1184670 1434767 2369340 2869534 4304301 5739068 7173835 8608602 12912903 14347670 17217204 21521505 25825806 28695340 43043010 51651612 64564515 86086020 129129030 258258060