Search a number
-
+
268666864 = 2423732137
BaseRepresentation
bin10000000000111…
…000011111110000
3200201112200122121
4100000320133300
51022234314424
642354244024
76441426214
oct2000703760
9621480577
10268666864
11128723434
1275b86614
134387a09b
1427978944
15188beee4
hex100387f0

268666864 has 60 divisors (see below), whose sum is σ = 554736816. Its totient is φ = 125807616.

The previous prime is 268666837. The next prime is 268666877. The reversal of 268666864 is 468666862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1961004 + ... + 1961140.

Almost surely, 2268666864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268666864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277368408).

268666864 is an abundant number, since it is smaller than the sum of its proper divisors (286069952).

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

268666864 is a wasteful number, since it uses less digits than its factorization.

268666864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 235 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 52.

The square root of 268666864 is about 16391.0604904015. The cubic root of 268666864 is about 645.2648904980.

The spelling of 268666864 in words is "two hundred sixty-eight million, six hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 73 92 137 146 184 274 292 368 548 584 1096 1168 1679 2192 3151 3358 5329 6302 6716 10001 10658 12604 13432 20002 21316 25208 26864 40004 42632 50416 80008 85264 122567 160016 230023 245134 460046 490268 730073 920092 980536 1460146 1840184 1961072 2920292 3680368 5840584 11681168 16791679 33583358 67166716 134333432 268666864