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268508670 = 235233112553
BaseRepresentation
bin10000000000010…
…001110111111110
3200201020122122120
4100000101313332
51022214234140
642351023410
76440200053
oct2000216776
9621218576
10268508670
111286255a1
1275b0ab66
1343823091
142793702a
151888d1d0
hex10011dfe

268508670 has 64 divisors (see below), whose sum is σ = 694185984. Its totient is φ = 66274560.

The previous prime is 268508623. The next prime is 268508677. The reversal of 268508670 is 76805862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268508677) 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, 15114 + ... + 27666.

It is an arithmetic number, because the mean of its divisors is an integer number (10846656).

Almost surely, 2268508670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268508670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347092992).

268508670 is an abundant number, since it is smaller than the sum of its proper divisors (425677314).

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

268508670 is a wasteful number, since it uses less digits than its factorization.

268508670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617.

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 268508670 is about 16386.2341616370. The cubic root of 268508670 is about 645.1382192817.

The spelling of 268508670 in words is "two hundred sixty-eight million, five hundred eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 690 713 930 1426 2139 3565 4278 7130 10695 12553 21390 25106 37659 62765 75318 125530 188295 288719 376590 389143 577438 778286 866157 1167429 1443595 1732314 1945715 2334858 2887190 3891430 4330785 5837145 8661570 8950289 11674290 17900578 26850867 44751445 53701734 89502890 134254335 268508670