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268977140 = 225101133157
BaseRepresentation
bin10000000010000…
…100001111110100
3200202010110021022
4100002010033310
51022324232030
642405040312
76444160625
oct2002041764
9622113238
10268977140
11128915563
12760b6098
1343958393
1427a19a4c
1518931de5
hex100843f4

268977140 has 24 divisors (see below), whose sum is σ = 570448872. Its totient is φ = 106524800.

The previous prime is 268977127. The next prime is 268977151. The reversal of 268977140 is 41779862.

It can be written as a sum of positive squares in 4 ways, for example, as 21418384 + 247558756 = 4628^2 + 15734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268977091 and 268977100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64559 + ... + 68598.

It is an arithmetic number, because the mean of its divisors is an integer number (23768703).

Almost surely, 2268977140 is an apocalyptic number.

268977140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268977140 is an abundant number, since it is smaller than the sum of its proper divisors (301471732).

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

268977140 is a wasteful number, since it uses less digits than its factorization.

268977140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133267 (or 133265 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 268977140 is about 16400.5225526506. The cubic root of 268977140 is about 645.5131945168.

The spelling of 268977140 in words is "two hundred sixty-eight million, nine hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 133157 266314 532628 665785 1331570 2663140 13448857 26897714 53795428 67244285 134488570 268977140