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268170820 = 22537362393
BaseRepresentation
bin11111111101111…
…11011001000100
3200200121111012121
433332333121010
51022122431240
642335455324
76434262061
oct1776773104
9620544177
10268170820
11128414785
1275987544
1343735378
1427889c68
151882304a
hexffbf644

268170820 has 24 divisors (see below), whose sum is σ = 578380824. Its totient is φ = 104368896.

The previous prime is 268170817. The next prime is 268170821. The reversal of 268170820 is 28071862.

It can be written as a sum of positive squares in 4 ways, for example, as 36096064 + 232074756 = 6008^2 + 15234^2 .

It is not an unprimeable number, because it can be changed into a prime (268170821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180457 + ... + 181936.

It is an arithmetic number, because the mean of its divisors is an integer number (24099201).

Almost surely, 2268170820 is an apocalyptic number.

268170820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268170820 is an abundant number, since it is smaller than the sum of its proper divisors (310210004).

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

268170820 is a wasteful number, since it uses less digits than its factorization.

268170820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362439 (or 362437 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 268170820 is about 16375.9219587784. The cubic root of 268170820 is about 644.8675248232.

The spelling of 268170820 in words is "two hundred sixty-eight million, one hundred seventy thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 362393 724786 1449572 1811965 3623930 7247860 13408541 26817082 53634164 67042705 134085410 268170820