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1138488 = 233134189
BaseRepresentation
bin100010101111100111000
32010211201020
410111330320
5242412423
640222440
712451131
oct4257470
92124636
101138488
117083aa
1246aa20
1330b280
14218c88
151774e3
hex115f38

1138488 has 64 divisors (see below), whose sum is σ = 3175200. Its totient is φ = 337920.

The previous prime is 1138483. The next prime is 1138519. The reversal of 1138488 is 8848311.

It is a happy number.

It is a Cunningham number, because it is equal to 10672-1.

It is a super-2 number, since 2×11384882 = 2592309852288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12748 + ... + 12836.

21138488 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 1138488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600).

1138488 is an abundant number, since it is smaller than the sum of its proper divisors (2036712).

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

1138488 is a wasteful number, since it uses less digits than its factorization.

1138488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 1138488 is about 1066.9995313963. Note that the first 3 decimals coincide. The cubic root of 1138488 is about 104.4181879911.

The spelling of 1138488 in words is "one million, one hundred thirty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 89 104 123 156 164 178 246 267 312 328 356 492 533 534 712 984 1066 1068 1157 1599 2132 2136 2314 3198 3471 3649 4264 4628 6396 6942 7298 9256 10947 12792 13884 14596 21894 27768 29192 43788 47437 87576 94874 142311 189748 284622 379496 569244 1138488