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1138688 = 213139
BaseRepresentation
bin100010110000000000000
32010211222122
410112000000
5242414223
640223412
712451535
oct4260000
92124878
101138688
11708571
1246ab68
1330b3a5
14218d8c
151775c8
hex116000

1138688 has 28 divisors (see below), whose sum is σ = 2293620. Its totient is φ = 565248.

The previous prime is 1138681. The next prime is 1138703. The reversal of 1138688 is 8868311.

It is a happy number.

It is a super-2 number, since 2×11386882 = 2593220722688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8123 + ... + 8261.

It is an arithmetic number, because the mean of its divisors is an integer number (81915).

21138688 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 1138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146810).

1138688 is an abundant number, since it is smaller than the sum of its proper divisors (1154932).

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

1138688 is an frugal number, since it uses more digits than its factorization.

1138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 1138688 is about 1067.0932480341. The cubic root of 1138688 is about 104.4243020695.

The spelling of 1138688 in words is "one million, one hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1024 1112 2048 2224 4096 4448 8192 8896 17792 35584 71168 142336 284672 569344 1138688