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268075016 = 231121631699
BaseRepresentation
bin11111111101010…
…00000000001000
3200200102121210022
433332220000020
51022111400031
642333440012
76433412546
oct1776500010
9620377708
10268075016
11128359800
1275940008
1343700891
1427862d96
151880497b
hexffa8008

268075016 has 48 divisors (see below), whose sum is σ = 556206000. Its totient is φ = 121033440.

The previous prime is 268075013. The next prime is 268075061. The reversal of 268075016 is 610570862.

It is not an unprimeable number, because it can be changed into a prime (268075013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156935 + ... + 158633.

It is an arithmetic number, because the mean of its divisors is an integer number (11587625).

Almost surely, 2268075016 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 268075016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278103000).

268075016 is an abundant number, since it is smaller than the sum of its proper divisors (288130984).

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

268075016 is a wasteful number, since it uses less digits than its factorization.

268075016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 268075016 is about 16372.9965491965. The cubic root of 268075016 is about 644.7907227226.

The spelling of 268075016 in words is "two hundred sixty-eight million, seventy-five thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 163 242 326 484 652 968 1304 1699 1793 3398 3586 6796 7172 13592 14344 18689 19723 37378 39446 74756 78892 149512 157784 205579 276937 411158 553874 822316 1107748 1644632 2215496 3046307 6092614 12185228 24370456 33509377 67018754 134037508 268075016