Search a number
-
+
10716057 = 351119211
BaseRepresentation
bin101000111000…
…001110011001
3202011102200000
4220320032121
510220403212
61021403213
7160041102
oct50701631
922142600
1010716057
11605a150
123709509
1322b2781
1415cd3a9
15e1a1dc
hexa38399

10716057 has 48 divisors (see below), whose sum is σ = 18520320. Its totient is φ = 6123600.

The previous prime is 10716037. The next prime is 10716059. The reversal of 10716057 is 75061701.

It is not a de Polignac number, because 10716057 - 214 = 10699673 is a prime.

It is a super-2 number, since 2×107160572 = 229667755254498, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10716057.

It is not an unprimeable number, because it can be changed into a prime (10716059) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50682 + ... + 50892.

It is an arithmetic number, because the mean of its divisors is an integer number (385840).

Almost surely, 210716057 is an apocalyptic number.

10716057 is the 2673-rd pentagonal number.

It is an amenable number.

10716057 is a deficient number, since it is larger than the sum of its proper divisors (7804263).

10716057 is a wasteful number, since it uses less digits than its factorization.

10716057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 10716057 is about 3273.5389107203. The cubic root of 10716057 is about 220.4677170563.

Adding to 10716057 its reverse (75061701), we get a palindrome (85777758).

The spelling of 10716057 in words is "ten million, seven hundred sixteen thousand, fifty-seven".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 211 243 297 513 627 633 891 1539 1881 1899 2321 2673 4009 4617 5643 5697 6963 12027 16929 17091 20889 36081 44099 50787 51273 62667 108243 132297 188001 324729 396891 564003 974187 1190673 3572019 10716057