Search a number
-
+
1123020 = 2232517367
BaseRepresentation
bin100010010001011001100
32010001111100
410102023030
5241414040
640023100
712355053
oct4221314
92101440
101123020
116a7818
12461a90
13304212
1421339a
15172b30
hex1122cc

1123020 has 72 divisors (see below), whose sum is σ = 3616704. Its totient is φ = 281088.

The previous prime is 1122997. The next prime is 1123051. The reversal of 1123020 is 203211.

It is a happy number.

It is a super-2 number, since 2×11230202 = 2522347840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1122993 and 1123011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2877 + ... + 3243.

It is an arithmetic number, because the mean of its divisors is an integer number (50232).

21123020 is an apocalyptic number.

1123020 is a gapful number since it is divisible by the number (10) 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 1123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808352).

1123020 is an abundant number, since it is smaller than the sum of its proper divisors (2493684).

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

1123020 is a wasteful number, since it uses less digits than its factorization.

1123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1123020 is about 1059.7263797792. The cubic root of 1123020 is about 103.9431395295.

Adding to 1123020 its reverse (203211), we get a palindrome (1326231).

The spelling of 1123020 in words is "one million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 367 510 612 734 765 1020 1101 1468 1530 1835 2202 3060 3303 3670 4404 5505 6239 6606 7340 11010 12478 13212 16515 18717 22020 24956 31195 33030 37434 56151 62390 66060 74868 93585 112302 124780 187170 224604 280755 374340 561510 1123020