Search a number
-
+
268899750 = 2345372271
BaseRepresentation
bin10000000001110…
…001010110100110
3200201222112010000
4100001301112212
51022314243000
642403242130
76443416200
oct2001612646
9621875100
10268899750
111288723a9
1276079346
134392c0a2
14279d9770
1518919000
hex100715a6

268899750 has 240 divisors, whose sum is σ = 877960512. Its totient is φ = 61236000.

The previous prime is 268899733. The next prime is 268899781. The reversal of 268899750 is 57998862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 992115 + ... + 992385.

Almost surely, 2268899750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268899750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438980256).

268899750 is an abundant number, since it is smaller than the sum of its proper divisors (609060762).

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

268899750 is a wasteful number, since it uses less digits than its factorization.

268899750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 268899750 is about 16398.1630068737. The cubic root of 268899750 is about 645.4512796418.

The spelling of 268899750 in words is "two hundred sixty-eight million, eight hundred ninety-nine thousand, seven hundred fifty".