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10712106 = 232595117
BaseRepresentation
bin101000110111…
…010000101010
3202011020020200
4220313100222
510220241411
61021333030
7160023426
oct50672052
922136220
1010712106
116057189
123707176
1322b0a32
1415cbb86
15e18e56
hexa3742a

10712106 has 12 divisors (see below), whose sum is σ = 23209602. Its totient is φ = 3570696.

The previous prime is 10712101. The next prime is 10712113. The reversal of 10712106 is 60121701.

It can be written as a sum of positive squares in only one way, i.e., 5716881 + 4995225 = 2391^2 + 2235^2 .

It is a super-2 number, since 2×107121062 = 229498429910472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 595117 = 10712106 / (1 + 0 + 7 + 1 + 2 + 1 + 0 + 6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10712101) 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 5 ways as a sum of consecutive naturals, for example, 297541 + ... + 297576.

Almost surely, 210712106 is an apocalyptic number.

10712106 is an abundant number, since it is smaller than the sum of its proper divisors (12497496).

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

10712106 is a wasteful number, since it uses less digits than its factorization.

10712106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595125 (or 595122 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10712106 is about 3272.9353797471. The cubic root of 10712106 is about 220.4406183133.

Adding to 10712106 its reverse (60121701), we get a palindrome (70833807).

The spelling of 10712106 in words is "ten million, seven hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 18 595117 1190234 1785351 3570702 5356053 10712106