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10717029 = 3661241
BaseRepresentation
bin101000111000…
…011101100101
3202011111000000
4220320131211
510220421104
61021411513
7160043661
oct50703545
922144000
1010717029
11605a954
123709b99
1322b304b
1415cd8a1
15e1a639
hexa38765

10717029 has 28 divisors (see below), whose sum is σ = 16399372. Its totient is φ = 6998400.

The previous prime is 10717001. The next prime is 10717067. The reversal of 10717029 is 92071701.

10717029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3572100 + 7144929 = 1890^2 + 2673^2 .

It is not a de Polignac number, because 10717029 - 28 = 10716773 is a prime.

It is a super-2 number, since 2×107170292 = 229709421173682, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10716993 and 10717011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10717129) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 44349 + ... + 44589.

Almost surely, 210717029 is an apocalyptic number.

It is an amenable number.

10717029 is a deficient number, since it is larger than the sum of its proper divisors (5682343).

10717029 is an frugal number, since it uses more digits than its factorization.

10717029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 10717029 is about 3273.6873705349. The cubic root of 10717029 is about 220.4743826966.

It can be divided in two parts, 1071 and 7029, that added together give a square (8100 = 902).

The spelling of 10717029 in words is "ten million, seven hundred seventeen thousand, twenty-nine".

Divisors: 1 3 9 27 61 81 183 241 243 549 723 729 1647 2169 4941 6507 14701 14823 19521 44103 44469 58563 132309 175689 396927 1190781 3572343 10717029