Search a number
-
+
1022113024 = 2889113397
BaseRepresentation
bin111100111011000…
…011010100000000
32122020021201110221
4330323003110000
54043130104044
6245231232424
734220550232
oct7473032400
92566251427
101022113024
11484a57709
12246378714
131339b030a
1499a66252
155eaed484
hex3cec3500

1022113024 has 72 divisors (see below), whose sum is σ = 2086658280. Its totient is φ = 499580928.

The previous prime is 1022113013. The next prime is 1022113039. The reversal of 1022113024 is 4203112201.

It can be written as a sum of positive squares in 4 ways, for example, as 160000 + 1021953024 = 400^2 + 31968^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1022112989 and 1022113007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2574394 + ... + 2574790.

It is an arithmetic number, because the mean of its divisors is an integer number (28981365).

Almost surely, 21022113024 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 1022113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043329140).

1022113024 is an abundant number, since it is smaller than the sum of its proper divisors (1064545256).

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

1022113024 is an equidigital number, since it uses as much as digits as its factorization.

1022113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1022113024 is about 31970.5024045604. The cubic root of 1022113024 is about 1007.3173340245.

Adding to 1022113024 its reverse (4203112201), we get a palindrome (5225225225).

The spelling of 1022113024 in words is "one billion, twenty-two million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 89 113 128 178 226 256 356 397 452 712 794 904 1424 1588 1808 2848 3176 3616 5696 6352 7232 10057 11392 12704 14464 20114 22784 25408 28928 35333 40228 44861 50816 70666 80456 89722 101632 141332 160912 179444 282664 321824 358888 565328 643648 717776 1130656 1287296 1435552 2261312 2574592 2871104 3992629 4522624 5742208 7985258 9045248 11484416 15970516 31941032 63882064 127764128 255528256 511056512 1022113024