Search a number
-
+
1153020 = 2235111747
BaseRepresentation
bin100011001011111111100
32011120122110
410121133330
5243344040
640414020
712541401
oct4313774
92146573
101153020
11718310
12477310
13314a7b
142202a8
1517b980
hex1197fc

1153020 has 48 divisors (see below), whose sum is σ = 3523968. Its totient is φ = 279360.

The previous prime is 1153007. The next prime is 1153021. The reversal of 1153020 is 203511.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1152987 and 1153005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (73416).

21153020 is an apocalyptic number.

1153020 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 1153020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761984).

1153020 is an abundant number, since it is smaller than the sum of its proper divisors (2370948).

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

1153020 is a wasteful number, since it uses less digits than its factorization.

1153020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1153020 is about 1073.7876885120. The cubic root of 1153020 is about 104.8605859496.

Adding to 1153020 its reverse (203511), we get a palindrome (1356531).

The spelling of 1153020 in words is "one million, one hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1747 3494 5241 6988 8735 10482 17470 19217 20964 26205 34940 38434 52410 57651 76868 96085 104820 115302 192170 230604 288255 384340 576510 1153020