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1138816 = 2773141
BaseRepresentation
bin100010110000010000000
32010212011101
410112002000
5242420231
640224144
712452110
oct4260200
92125141
101138816
11708678
1246b054
1330b473
14219040
15177661
hex116080

1138816 has 64 divisors (see below), whose sum is σ = 2741760. Its totient is φ = 460800.

The previous prime is 1138793. The next prime is 1138829. The reversal of 1138816 is 6188311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27756 + ... + 27796.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

21138816 is an apocalyptic number.

1138816 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 1138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880).

1138816 is an abundant number, since it is smaller than the sum of its proper divisors (1602944).

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

1138816 is an equidigital number, since it uses as much as digits as its factorization.

1138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 1138816 is about 1067.1532223631. The cubic root of 1138816 is about 104.4282147040.

The spelling of 1138816 in words is "one million, one hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 217 224 248 287 328 434 448 496 574 656 868 896 992 1148 1271 1312 1736 1984 2296 2542 2624 3472 3968 4592 5084 5248 6944 8897 9184 10168 13888 17794 18368 20336 27776 35588 36736 40672 71176 81344 142352 162688 284704 569408 1138816