Search a number
-
+
268760301 = 31937312641
BaseRepresentation
bin10000000001001…
…111010011101101
3200201201102211020
4100001033103231
51022300312201
642400244353
76442265505
oct2001172355
9621642736
10268760301
11128787657
12760106b9
13438b0784
14279a0a05
15188dca36
hex1004f4ed

268760301 has 16 divisors (see below), whose sum is σ = 378248640. Its totient is φ = 169274880.

The previous prime is 268760299. The next prime is 268760309. The reversal of 268760301 is 103067862.

It is not a de Polignac number, because 268760301 - 21 = 268760299 is a prime.

It is a super-2 number, since 2×2687603012 = 144464198787221202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268760309) 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 15 ways as a sum of consecutive naturals, for example, 14941 + ... + 27581.

It is an arithmetic number, because the mean of its divisors is an integer number (23640540).

Almost surely, 2268760301 is an apocalyptic number.

It is an amenable number.

268760301 is a deficient number, since it is larger than the sum of its proper divisors (109488339).

268760301 is a wasteful number, since it uses less digits than its factorization.

268760301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13036.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 268760301 is about 16393.9104852991. The cubic root of 268760301 is about 645.3396852663.

The spelling of 268760301 in words is "two hundred sixty-eight million, seven hundred sixty thousand, three hundred one".

Divisors: 1 3 19 57 373 1119 7087 12641 21261 37923 240179 720537 4715093 14145279 89586767 268760301