Search a number
-
+
1072530 = 232517701
BaseRepresentation
bin100000101110110010010
32000111020100
410011312102
5233310110
634553230
712054624
oct4056622
92014210
101072530
11672898
12438816
132b7244
141dcc14
15162bc0
hex105d92

1072530 has 48 divisors (see below), whose sum is σ = 2956824. Its totient is φ = 268800.

The previous prime is 1072517. The next prime is 1072537. The reversal of 1072530 is 352701.

It can be written as a sum of positive squares in 4 ways, for example, as 1058841 + 13689 = 1029^2 + 117^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1072537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180 + ... + 1880.

21072530 is an apocalyptic number.

1072530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478412).

1072530 is an abundant number, since it is smaller than the sum of its proper divisors (1884294).

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

1072530 is a wasteful number, since it uses less digits than its factorization.

1072530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1072530 is about 1035.6302428956. The cubic root of 1072530 is about 102.3614626511.

The spelling of 1072530 in words is "one million, seventy-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 701 765 1402 1530 2103 3505 4206 6309 7010 10515 11917 12618 21030 23834 31545 35751 59585 63090 71502 107253 119170 178755 214506 357510 536265 1072530