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1122816 = 2931743
BaseRepresentation
bin100010010001000000000
32010001012210
410102020000
5241412231
640022120
712354342
oct4221000
92101183
101122816
116a7652
12461940
133040b6
14213292
15172a46
hex112200

1122816 has 80 divisors (see below), whose sum is σ = 3240864. Its totient is φ = 344064.

The previous prime is 1122811. The next prime is 1122841. The reversal of 1122816 is 6182211.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 8.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1122792 and 1122801.

It is not an unprimeable number, because it can be changed into a prime (1122811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26091 + ... + 26133.

21122816 is an apocalyptic number.

1122816 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 1122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432).

1122816 is an abundant number, since it is smaller than the sum of its proper divisors (2118048).

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

1122816 is an equidigital number, since it uses as much as digits as its factorization.

1122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1122816 is about 1059.6301241471. The cubic root of 1122816 is about 103.9368452858.

The spelling of 1122816 in words is "one million, one hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 256 258 272 344 384 408 512 516 544 688 731 768 816 1032 1088 1376 1462 1536 1632 2064 2176 2193 2752 2924 3264 4128 4352 4386 5504 5848 6528 8256 8704 8772 11008 11696 13056 16512 17544 22016 23392 26112 33024 35088 46784 66048 70176 93568 140352 187136 280704 374272 561408 1122816