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258671140 = 225713311457
BaseRepresentation
bin11110110101100…
…00001000100100
3200000201212002121
433122300020210
51012204434030
641400115324
76260445160
oct1732601044
9600655077
10258671140
11123016502
1272765b44
134178a460
14264d5ca0
1517a9847a
hexf6b0224

258671140 has 96 divisors (see below), whose sum is σ = 672182784. Its totient is φ = 81423360.

The previous prime is 258671137. The next prime is 258671177. The reversal of 258671140 is 41176852.

It is a junction number, because it is equal to n+sod(n) for n = 258671096 and 258671105.

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, 565792 + ... + 566248.

It is an arithmetic number, because the mean of its divisors is an integer number (7001904).

Almost surely, 2258671140 is an apocalyptic number.

258671140 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 258671140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336091392).

258671140 is an abundant number, since it is smaller than the sum of its proper divisors (413511644).

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

258671140 is a wasteful number, since it uses less digits than its factorization.

258671140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 258671140 is about 16083.2565110428. The cubic root of 258671140 is about 637.1612061163.

The spelling of 258671140 in words is "two hundred fifty-eight million, six hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 311 364 455 457 622 910 914 1244 1555 1820 1828 2177 2285 3110 3199 4043 4354 4570 5941 6220 6398 8086 8708 9140 10885 11882 12796 15995 16172 20215 21770 23764 28301 29705 31990 40430 41587 43540 56602 59410 63980 80860 83174 113204 118820 141505 142127 166348 207935 283010 284254 415870 566020 568508 710635 831740 994889 1421270 1847651 1989778 2842540 3695302 3979556 4974445 7390604 9238255 9948890 12933557 18476510 19897780 25867114 36953020 51734228 64667785 129335570 258671140