Search a number
-
+
1072812 = 223132232
BaseRepresentation
bin100000101111010101100
32000111121210
410011322230
5233312222
634554420
712055506
oct4057254
92014553
101072812
11673024
12438a10
132b7400
141dcd76
15162d0c
hex105eac

1072812 has 54 divisors (see below), whose sum is σ = 2833572. Its totient is φ = 315744.

The previous prime is 1072811. The next prime is 1072823. The reversal of 1072812 is 2182701.

It is not an unprimeable number, because it can be changed into a prime (1072811) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46633 + ... + 46655.

21072812 is an apocalyptic number.

1072812 is a gapful number since it is divisible by the number (12) 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 1072812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416786).

1072812 is an abundant number, since it is smaller than the sum of its proper divisors (1760760).

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

1072812 is a wasteful number, since it uses less digits than its factorization.

1072812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1072812 is about 1035.7663829262. The cubic root of 1072812 is about 102.3704331548.

The spelling of 1072812 in words is "one million, seventy-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 507 529 598 676 897 1014 1058 1196 1587 1794 2028 2116 3174 3588 3887 6348 6877 7774 11661 13754 15548 20631 23322 27508 41262 46644 82524 89401 178802 268203 357604 536406 1072812