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268009620 = 223541108947
BaseRepresentation
bin11111111100110…
…00000010010100
3200200022022002020
433332120002110
51022102301440
642332213140
76433021104
oct1776300224
9620268066
10268009620
1112831465a
127590a1b0
13436a9b98
1427847204
15187e03d0
hexff98094

268009620 has 48 divisors (see below), whose sum is σ = 768737088. Its totient is φ = 69725440.

The previous prime is 268009613. The next prime is 268009631. The reversal of 268009620 is 26900862.

268009620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52014 + ... + 56933.

It is an arithmetic number, because the mean of its divisors is an integer number (16015356).

Almost surely, 2268009620 is an apocalyptic number.

268009620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268009620 is an abundant number, since it is smaller than the sum of its proper divisors (500727468).

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

268009620 is a wasteful number, since it uses less digits than its factorization.

268009620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109000 (or 108998 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 268009620 is about 16370.9993586219. Note that the first 3 decimals coincide. The cubic root of 268009620 is about 644.7382869480.

The spelling of 268009620 in words is "two hundred sixty-eight million, nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 108947 217894 326841 435788 544735 653682 1089470 1307364 1634205 2178940 3268410 4466827 6536820 8933654 13400481 17867308 22334135 26800962 44668270 53601924 67002405 89336540 134004810 268009620