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10742373 = 328771361
BaseRepresentation
bin101000111110…
…101001100101
3202012202202200
4220332221211
510222223443
61022125113
7160210605
oct50765145
922182680
1010742373
1160779a4
123720799
1322c1745
1415d8c05
15e22dd3
hexa3ea65

10742373 has 12 divisors (see below), whose sum is σ = 15545868. Its totient is φ = 7148160.

The previous prime is 10742363. The next prime is 10742387. The reversal of 10742373 is 37324701.

It can be written as a sum of positive squares in 2 ways, for example, as 5461569 + 5280804 = 2337^2 + 2298^2 .

It is not a de Polignac number, because 10742373 - 26 = 10742309 is a prime.

It is a super-2 number, since 2×107423732 = 230797155342258, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742323) 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 11 ways as a sum of consecutive naturals, for example, 7213 + ... + 8573.

It is an arithmetic number, because the mean of its divisors is an integer number (1295489).

Almost surely, 210742373 is an apocalyptic number.

It is an amenable number.

10742373 is a deficient number, since it is larger than the sum of its proper divisors (4803495).

10742373 is a wasteful number, since it uses less digits than its factorization.

10742373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 10742373 is about 3277.5559491792. Note that the first 3 decimals coincide. The cubic root of 10742373 is about 220.6480410201.

The spelling of 10742373 in words is "ten million, seven hundred forty-two thousand, three hundred seventy-three".

Divisors: 1 3 9 877 1361 2631 4083 7893 12249 1193597 3580791 10742373