Search a number
-
+
268270236 = 2232131813167
BaseRepresentation
bin11111111110101…
…11101010011100
3200200210112120200
433333113222130
51022134121421
642341543500
76435154653
oct1777275234
9620715520
10268270236
11128482443
1275a14b90
134376b6b0
14278b419a
1518842726
hexffd7a9c

268270236 has 72 divisors (see below), whose sum is σ = 734557824. Its totient is φ = 82062720.

The previous prime is 268270231. The next prime is 268270237. The reversal of 268270236 is 632072862.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 268270236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268270231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83125 + ... + 86291.

It is an arithmetic number, because the mean of its divisors is an integer number (10202192).

Almost surely, 2268270236 is an apocalyptic number.

268270236 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268270236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367278912).

268270236 is an abundant number, since it is smaller than the sum of its proper divisors (466287588).

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

268270236 is a wasteful number, since it uses less digits than its factorization.

268270236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 268270236 is about 16378.9571096575. The cubic root of 268270236 is about 644.9472031780.

The spelling of 268270236 in words is "two hundred sixty-eight million, two hundred seventy thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 724 1086 1629 2172 2353 3167 3258 4706 6334 6516 7059 9412 9501 12668 14118 19002 21177 28236 28503 38004 41171 42354 57006 82342 84708 114012 123513 164684 247026 370539 494052 573227 741078 1146454 1482156 1719681 2292908 3439362 5159043 6878724 7451951 10318086 14903902 20636172 22355853 29807804 44711706 67067559 89423412 134135118 268270236