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10575037 = 112175397
BaseRepresentation
bin101000010101…
…110010111101
3201220021020001
4220111302331
510201400122
61014354301
7155613004
oct50256275
921807201
1010575037
115a73200
12365b991
132263525
141593c3b
15ddd527
hexa15cbd

10575037 has 24 divisors (see below), whose sum is σ = 12669048. Its totient is φ = 8785920.

The previous prime is 10575031. The next prime is 10575043. The reversal of 10575037 is 73057501.

It is an interprime number because it is at equal distance from previous prime (10575031) and next prime (10575043).

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 6911641 = 1914^2 + 2629^2 .

It is not a de Polignac number, because 10575037 - 215 = 10542269 is a prime.

It is a super-2 number, since 2×105750372 = 223662815102738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10574996 and 10575014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10575031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108973 + ... + 109069.

It is an arithmetic number, because the mean of its divisors is an integer number (527877).

Almost surely, 210575037 is an apocalyptic number.

10575037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10575037 is the 2057-th heptagonal number.

It is an amenable number.

10575037 is a deficient number, since it is larger than the sum of its proper divisors (2094011).

10575037 is a wasteful number, since it uses less digits than its factorization.

10575037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 10575037 is about 3251.9281972393. The cubic root of 10575037 is about 219.4963478550.

The spelling of 10575037 in words is "ten million, five hundred seventy-five thousand, thirty-seven".

Divisors: 1 11 17 53 97 121 187 583 901 1067 1649 2057 5141 6413 9911 11737 18139 56551 87397 109021 199529 622061 961367 10575037