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258093870 = 235371571481
BaseRepresentation
bin11110110001000…
…11001100101110
3122222122112020020
433120203030232
51012033000440
641335503010
76252522156
oct1730431456
9588575206
10258093870
11122761821
1272527a66
1341617788
14263c5766
15179d23d0
hexf62332e

258093870 has 64 divisors (see below), whose sum is σ = 640650816. Its totient is φ = 66493440.

The previous prime is 258093841. The next prime is 258093877. The reversal of 258093870 is 78390852.

It is a super-2 number, since 2×2580938702 = 133224891463153800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258093877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173530 + ... + 175010.

It is an arithmetic number, because the mean of its divisors is an integer number (10010169).

Almost surely, 2258093870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258093870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320325408).

258093870 is an abundant number, since it is smaller than the sum of its proper divisors (382556946).

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

258093870 is a wasteful number, since it uses less digits than its factorization.

258093870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 258093870 is about 16065.3001839368. The cubic root of 258093870 is about 636.6868741093.

The spelling of 258093870 in words is "two hundred fifty-eight million, ninety-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 157 185 222 314 370 471 555 785 942 1110 1481 1570 2355 2962 4443 4710 5809 7405 8886 11618 14810 17427 22215 29045 34854 44430 54797 58090 87135 109594 164391 174270 232517 273985 328782 465034 547970 697551 821955 1162585 1395102 1643910 2325170 3487755 6975510 8603129 17206258 25809387 43015645 51618774 86031290 129046935 258093870