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8138136 = 233232641
BaseRepresentation
bin11111000010110110011000
3120022110102110
4133002312120
54040410021
6450232320
7126113226
oct37026630
916273373
108138136
114659336
1228856a0
1318bc286
14111bb16
15aab476
hex7c2d98

8138136 has 48 divisors (see below), whose sum is σ = 21301560. Its totient is φ = 2590720.

The previous prime is 8138129. The next prime is 8138149. The reversal of 8138136 is 6318318.

8138136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12376 + ... + 13016.

Almost surely, 28138136 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 8138136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650780).

8138136 is an abundant number, since it is smaller than the sum of its proper divisors (13163424).

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

8138136 is a wasteful number, since it uses less digits than its factorization.

8138136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 669 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 8138136 is about 2852.7418390033. The cubic root of 8138136 is about 201.1445706284.

The spelling of 8138136 in words is "eight million, one hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 529 552 641 1058 1282 1587 1923 2116 2564 3174 3846 4232 5128 6348 7692 12696 14743 15384 29486 44229 58972 88458 117944 176916 339089 353832 678178 1017267 1356356 2034534 2712712 4069068 8138136