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1122984 = 23341733
BaseRepresentation
bin100010010001010101000
32010001110000
410102022220
5241413414
640023000
712355002
oct4221250
92101400
101122984
116a7795
12461a60
133041b5
14213372
15172b09
hex1122a8

1122984 has 40 divisors (see below), whose sum is σ = 3147210. Its totient is φ = 374112.

The previous prime is 1122983. The next prime is 1122997. The reversal of 1122984 is 4892211.

It can be written as a sum of positive squares in only one way, i.e., 980100 + 142884 = 990^2 + 378^2 .

It is a super-2 number, since 2×11229842 = 2522186128512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (1122983) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 219 + ... + 1514.

21122984 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 1122984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573605).

1122984 is an abundant number, since it is smaller than the sum of its proper divisors (2024226).

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

1122984 is a wasteful number, since it uses less digits than its factorization.

1122984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1738 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1122984 is about 1059.7093941265. The cubic root of 1122984 is about 103.9420288360.

The spelling of 1122984 in words is "one million, one hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1733 3466 5199 6932 10398 13864 15597 20796 31194 41592 46791 62388 93582 124776 140373 187164 280746 374328 561492 1122984