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1138116 = 223717797
BaseRepresentation
bin100010101110111000100
32010211012110
410111313010
5242404431
640221020
712450060
oct4256704
92124173
101138116
117080a1
1246a770
1330b055
14218aa0
15177346
hex115dc4

1138116 has 48 divisors (see below), whose sum is σ = 3217536. Its totient is φ = 305664.

The previous prime is 1138097. The next prime is 1138117. The reversal of 1138116 is 6118311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1138092 and 1138101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

21138116 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 1138116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768).

1138116 is an abundant number, since it is smaller than the sum of its proper divisors (2079420).

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

1138116 is a wasteful number, since it uses less digits than its factorization.

1138116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 1138116 is about 1066.8251965528. The cubic root of 1138116 is about 104.4068139003.

The spelling of 1138116 in words is "one million, one hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 797 1428 1594 2391 3188 4782 5579 9564 11158 13549 16737 22316 27098 33474 40647 54196 66948 81294 94843 162588 189686 284529 379372 569058 1138116