Search a number
-
+
10662816 = 2531091019
BaseRepresentation
bin101000101011…
…001110100000
3202001201122010
4220223032200
510212202231
61020312520
7156426633
oct50531640
922051563
1010662816
11602314a
1236a2740
132294478
1415b7c1a
15e09546
hexa2b3a0

10662816 has 48 divisors (see below), whose sum is σ = 28274400. Its totient is φ = 3518208.

The previous prime is 10662811. The next prime is 10662833. The reversal of 10662816 is 61826601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106628162 = 227391290099712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10662811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9955 + ... + 10973.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 210662816 is an apocalyptic number.

10662816 is a gapful number since it is divisible by the number (16) 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 10662816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137200).

10662816 is an abundant number, since it is smaller than the sum of its proper divisors (17611584).

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

10662816 is a wasteful number, since it uses less digits than its factorization.

10662816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10662816 is about 3265.3967599665. The cubic root of 10662816 is about 220.1019912774.

The spelling of 10662816 in words is "ten million, six hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1019 1308 1744 2038 2616 3057 3488 4076 5232 6114 8152 10464 12228 16304 24456 32608 48912 97824 111071 222142 333213 444284 666426 888568 1332852 1777136 2665704 3554272 5331408 10662816