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1138896 = 243211719
BaseRepresentation
bin100010110000011010000
32010212021100
410112003100
5242421041
640224400
712452253
oct4260320
92125240
101138896
11708740
1246b100
1330b505
1421909a
151776b6
hex1160d0

1138896 has 60 divisors (see below), whose sum is σ = 3481920. Its totient is φ = 344640.

The previous prime is 1138883. The next prime is 1138901. The reversal of 1138896 is 6988311.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1138896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1225 + ... + 1943.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

21138896 is an apocalyptic number.

1138896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740960).

1138896 is an abundant number, since it is smaller than the sum of its proper divisors (2343024).

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

1138896 is a wasteful number, since it uses less digits than its factorization.

1138896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 735 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1138896 is about 1067.1907046072. The cubic root of 1138896 is about 104.4306599517.

It can be divided in two parts, 113 and 8896, that added together give a palindrome (9009).

The spelling of 1138896 in words is "one million, one hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 719 792 1438 1584 2157 2876 4314 5752 6471 7909 8628 11504 12942 15818 17256 23727 25884 31636 34512 47454 51768 63272 71181 94908 103536 126544 142362 189816 284724 379632 569448 1138896