Search a number
-
+
10723812 = 22311137593
BaseRepresentation
bin101000111010…
…000111100100
3202011211022020
4220322013210
510221130222
61021503140
7160102521
oct50720744
922154266
1010723812
116064a60
123711ab0
1322b6168
1415d2148
15e1c65c
hexa3a1e4

10723812 has 48 divisors (see below), whose sum is σ = 27542592. Its totient is φ = 3220480.

The previous prime is 10723807. The next prime is 10723859. The reversal of 10723812 is 21832701.

It is a super-2 number, since 2×107238122 = 230000287622688, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17788 + ... + 18380.

It is an arithmetic number, because the mean of its divisors is an integer number (573804).

Almost surely, 210723812 is an apocalyptic number.

10723812 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 10723812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771296).

10723812 is an abundant number, since it is smaller than the sum of its proper divisors (16818780).

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

10723812 is a wasteful number, since it uses less digits than its factorization.

10723812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10723812 is about 3274.7231944090. The cubic root of 10723812 is about 220.5208869514.

Subtracting 10723812 from its reverse (21832701), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1072 and 3812, that added together give a palindrome (4884).

The spelling of 10723812 in words is "ten million, seven hundred twenty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 593 822 1186 1507 1644 1779 2372 3014 3558 4521 6028 6523 7116 9042 13046 18084 19569 26092 39138 78276 81241 162482 243723 324964 487446 893651 974892 1787302 2680953 3574604 5361906 10723812