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10537293 = 313271997
BaseRepresentation
bin101000001100…
…100101001101
3201211100110010
4220030211031
510144143133
61013503433
7155364654
oct50144515
921740403
1010537293
115a47908
123641b79
13224c2b0
14158419b
15dd2263
hexa0c94d

10537293 has 16 divisors (see below), whose sum is σ = 15201536. Its totient is φ = 6454080.

The previous prime is 10537273. The next prime is 10537309. The reversal of 10537293 is 39273501.

It is not a de Polignac number, because 10537293 - 29 = 10536781 is a prime.

It is a super-2 number, since 2×105372932 = 222069087535698, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10537293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10071 + ... + 11067.

It is an arithmetic number, because the mean of its divisors is an integer number (950096).

Almost surely, 210537293 is an apocalyptic number.

10537293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10537293 is a deficient number, since it is larger than the sum of its proper divisors (4664243).

10537293 is a wasteful number, since it uses less digits than its factorization.

10537293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 10537293 is about 3246.1196835607. The cubic root of 10537293 is about 219.2348973534.

The spelling of 10537293 in words is "ten million, five hundred thirty-seven thousand, two hundred ninety-three".

Divisors: 1 3 13 39 271 813 997 2991 3523 10569 12961 38883 270187 810561 3512431 10537293