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8135268 = 22319311151
BaseRepresentation
bin11111000010001001100100
3120022022111020
4133002021210
54040312033
6450211140
7126101661
oct37021144
916268436
108135268
114657169
122883ab0
1318bab8b
14111aa68
15aaa6b3
hex7c2264

8135268 has 48 divisors (see below), whose sum is σ = 20643840. Its totient is φ = 2484000.

The previous prime is 8135243. The next prime is 8135273. The reversal of 8135268 is 8625318.

It is a happy 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, 6493 + ... + 7643.

It is an arithmetic number, because the mean of its divisors is an integer number (430080).

Almost surely, 28135268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8135268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321920).

8135268 is an abundant number, since it is smaller than the sum of its proper divisors (12508572).

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

8135268 is a wasteful number, since it uses less digits than its factorization.

8135268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1206 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 8135268 is about 2852.2391204105. The cubic root of 8135268 is about 201.1209390741.

The spelling of 8135268 in words is "eight million, one hundred thirty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1151 1178 1767 2302 2356 3453 3534 4604 6906 7068 13812 21869 35681 43738 65607 71362 87476 107043 131214 142724 214086 262428 428172 677939 1355878 2033817 2711756 4067634 8135268