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268040136 = 2337133137107
BaseRepresentation
bin11111111100111…
…11011111001000
3200200100211221110
433332133133020
51022104241021
642333010320
76433206060
oct1776373710
9620324843
10268040136
11128335581
12759239a0
13436baa40
14278543a0
15187e9476
hexff9f7c8

268040136 has 256 divisors, whose sum is σ = 882524160. Its totient is φ = 65940480.

The previous prime is 268040131. The next prime is 268040189. The reversal of 268040136 is 631040862.

It is not an unprimeable number, because it can be changed into a prime (268040131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2504995 + ... + 2505101.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2268040136 is an apocalyptic number.

268040136 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 268040136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

268040136 is an abundant number, since it is smaller than the sum of its proper divisors (614484024).

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

268040136 is a wasteful number, since it uses less digits than its factorization.

268040136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 268040136 is about 16371.9313460569. The cubic root of 268040136 is about 644.7627563269.

Adding to 268040136 its reverse (631040862), we get a palindrome (899080998).

The spelling of 268040136 in words is "two hundred sixty-eight million, forty thousand, one hundred thirty-six".