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268503795 = 3357284131
BaseRepresentation
bin10000000000010…
…000101011110011
3200201020101222000
4100000100223303
51022214110140
642350545043
76440146620
oct2000205363
9621211860
10268503795
1112862196a
1275b08183
1343820ab1
1427935347
151888ba30
hex10010af3

268503795 has 32 divisors (see below), whose sum is σ = 545533440. Its totient is φ = 122744160.

The previous prime is 268503791. The next prime is 268503827. The reversal of 268503795 is 597305862.

It is a happy number.

It is not a de Polignac number, because 268503795 - 22 = 268503791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 268503795.

It is not an unprimeable number, because it can be changed into a prime (268503791) 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, 141121 + ... + 143010.

It is an arithmetic number, because the mean of its divisors is an integer number (17047920).

Almost surely, 2268503795 is an apocalyptic number.

268503795 is an abundant number, since it is smaller than the sum of its proper divisors (277029645).

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

268503795 is a wasteful number, since it uses less digits than its factorization.

268503795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284152 (or 284146 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 268503795 is about 16386.0854080528. The cubic root of 268503795 is about 645.1343149163.

The spelling of 268503795 in words is "two hundred sixty-eight million, five hundred three thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 284131 852393 1420655 1988917 2557179 4261965 5966751 7671537 9944585 12785895 17900253 29833755 38357685 53700759 89501265 268503795