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268705905 = 35132934703
BaseRepresentation
bin10000000001000…
…010000001110001
3200201121200012120
4100001002001301
51022242042110
642355144453
76441651066
oct2001020161
9621550176
10268705905
1112874a7a6
1275ba5129
1343891aa0
1427988c6d
15188cb870
hex10042071

268705905 has 32 divisors (see below), whose sum is σ = 464679936. Its totient is φ = 131806464.

The previous prime is 268705901. The next prime is 268705933. The reversal of 268705905 is 509507862.

It is not a de Polignac number, because 268705905 - 22 = 268705901 is a prime.

It is a super-4 number, since 4×2687059054 (a number of 35 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268705901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54784 + ... + 59486.

It is an arithmetic number, because the mean of its divisors is an integer number (14521248).

Almost surely, 2268705905 is an apocalyptic number.

It is an amenable number.

268705905 is a deficient number, since it is larger than the sum of its proper divisors (195974031).

268705905 is a wasteful number, since it uses less digits than its factorization.

268705905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017.

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 268705905 is about 16392.2513706934. The cubic root of 268705905 is about 645.2961442796.

The spelling of 268705905 in words is "two hundred sixty-eight million, seven hundred five thousand, nine hundred five".

Divisors: 1 3 5 13 15 39 65 195 293 879 1465 3809 4395 4703 11427 14109 19045 23515 57135 61139 70545 183417 305695 917085 1377979 4133937 6889895 17913727 20669685 53741181 89568635 268705905