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8187138 = 2321937647
BaseRepresentation
bin11111001110110100000010
3120101221122100
4133032310002
54043442023
6451251230
7126406131
oct37166402
916357570
108187138
114692133
1228a9b16
13190867b
141131918
15abac43
hex7ced02

8187138 has 48 divisors (see below), whose sum is σ = 19206720. Its totient is φ = 2511648.

The previous prime is 8187097. The next prime is 8187139. The reversal of 8187138 is 8317818.

It is not an unprimeable number, because it can be changed into a prime (8187139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12331 + ... + 12977.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 28187138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8187138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603360).

8187138 is an abundant number, since it is smaller than the sum of its proper divisors (11019582).

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

8187138 is a wasteful number, since it uses less digits than its factorization.

8187138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 708 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 8187138 is about 2861.3175286920. The cubic root of 8187138 is about 201.5474789960.

The spelling of 8187138 in words is "eight million, one hundred eighty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 647 666 703 1294 1406 1941 2109 3882 4218 5823 6327 11646 12293 12654 23939 24586 36879 47878 71817 73758 110637 143634 215451 221274 430902 454841 909682 1364523 2729046 4093569 8187138