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8102536 = 23133461
BaseRepresentation
bin11110111010001010001000
3120020122120221
4132322022020
54033240121
6445355424
7125604361
oct36721210
916218527
108102536
114634612
122868b74
1318a9000
14110cb68
15aa0b41
hex7ba288

8102536 has 32 divisors (see below), whose sum is σ = 16493400. Its totient is φ = 3731520.

The previous prime is 8102459. The next prime is 8102537. The reversal of 8102536 is 6352018.

It is a happy number.

8102536 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 8008900 = 306^2 + 2830^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8102536.

It is not an unprimeable number, because it can be changed into a prime (8102537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17346 + ... + 17806.

Almost surely, 28102536 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 8102536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246700).

8102536 is an abundant number, since it is smaller than the sum of its proper divisors (8390864).

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

8102536 is a wasteful number, since it uses less digits than its factorization.

8102536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 8102536 is about 2846.4953890706. The cubic root of 8102536 is about 200.8508418743.

The spelling of 8102536 in words is "eight million, one hundred two thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 461 676 922 1352 1844 2197 3688 4394 5993 8788 11986 17576 23972 47944 77909 155818 311636 623272 1012817 2025634 4051268 8102536