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10071289 = 37293929
BaseRepresentation
bin100110011010…
…110011111001
3200221200012201
4212122303321
510034240124
6555510201
7151414234
oct46326371
920850181
1010071289
115759788
123458361
132118157
1414a241b
15d3e144
hex99acf9

10071289 has 8 divisors (see below), whose sum is σ = 10389960. Its totient is φ = 9755136.

The previous prime is 10071287. The next prime is 10071307. The reversal of 10071289 is 98217001.

It can be written as a sum of positive squares in 4 ways, for example, as 2958400 + 7112889 = 1720^2 + 2667^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10071289 - 21 = 10071287 is a prime.

It is a super-3 number, since 3×100712893 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10071287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10377 + ... + 11305.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 210071289 is an apocalyptic number.

It is an amenable number.

10071289 is a deficient number, since it is larger than the sum of its proper divisors (318671).

10071289 is an equidigital number, since it uses as much as digits as its factorization.

10071289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 10071289 is about 3173.5294232132. The cubic root of 10071289 is about 215.9542155475.

It can be divided in two parts, 100 and 71289, that multiplied together give a square (7128900 = 26702).

The spelling of 10071289 in words is "ten million, seventy-one thousand, two hundred eighty-nine".

Divisors: 1 37 293 929 10841 34373 272197 10071289