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8138112 = 27321193
BaseRepresentation
bin11111000010110110000000
3120022110101120
4133002312000
54040404422
6450232240
7126113163
oct37026600
916273346
108138112
114659314
122885680
1318bc268
14111bada
15aab45c
hex7c2d80

8138112 has 32 divisors (see below), whose sum is σ = 21617880. Its totient is φ = 2712576.

The previous prime is 8138111. The next prime is 8138129. The reversal of 8138112 is 2118318.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10213 + ... + 10980.

Almost surely, 28138112 is an apocalyptic number.

It is an amenable number.

8138112 is an abundant number, since it is smaller than the sum of its proper divisors (13479768).

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

8138112 is a wasteful number, since it uses less digits than its factorization.

8138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21210 (or 21198 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 8138112 is about 2852.7376325207. The cubic root of 8138112 is about 201.1443728979.

The spelling of 8138112 in words is "eight million, one hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 21193 42386 63579 84772 127158 169544 254316 339088 508632 678176 1017264 1356352 2034528 2712704 4069056 8138112