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10292593 = 292571381
BaseRepresentation
bin100111010000…
…110101110001
3201100220210011
4213100311301
510113330333
61004334521
7153325363
oct47206561
921326704
1010292593
11589aa83
123544441
132194abc
14151cd33
15d849cd
hex9d0d71

10292593 has 8 divisors (see below), whose sum is σ = 10696680. Its totient is φ = 9891840.

The previous prime is 10292567. The next prime is 10292603. The reversal of 10292593 is 39529201.

10292593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4397409 + 5895184 = 2097^2 + 2428^2 .

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 10292593 - 25 = 10292561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10292563) 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, 6763 + ... + 8143.

It is an arithmetic number, because the mean of its divisors is an integer number (1337085).

Almost surely, 210292593 is an apocalyptic number.

It is an amenable number.

10292593 is a deficient number, since it is larger than the sum of its proper divisors (404087).

10292593 is a wasteful number, since it uses less digits than its factorization.

10292593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 10292593 is about 3208.2071317170. The cubic root of 10292593 is about 217.5245438458.

The spelling of 10292593 in words is "ten million, two hundred ninety-two thousand, five hundred ninety-three".

Divisors: 1 29 257 1381 7453 40049 354917 10292593