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10047357 = 321797677
BaseRepresentation
bin100110010100…
…111101111101
3200220110101100
4212110331331
510033003412
6555203313
7151254405
oct46247575
920813340
1010047357
115742801
123446539
13210a2a8
141497805
15d36edc
hex994f7d

10047357 has 24 divisors (see below), whose sum is σ = 15547896. Its totient is φ = 6230016.

The previous prime is 10047347. The next prime is 10047397. The reversal of 10047357 is 75374001.

It can be written as a sum of positive squares in 4 ways, for example, as 5861241 + 4186116 = 2421^2 + 2046^2 .

It is not a de Polignac number, because 10047357 - 27 = 10047229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10047357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14503 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (647829).

Almost surely, 210047357 is an apocalyptic number.

10047357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10047357 is a deficient number, since it is larger than the sum of its proper divisors (5500539).

10047357 is a wasteful number, since it uses less digits than its factorization.

10047357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 10047357 is about 3169.7566152624. The cubic root of 10047357 is about 215.7830254322.

It can be divided in two parts, 10047 and 357, that added together give a square (10404 = 1022).

The spelling of 10047357 in words is "ten million, forty-seven thousand, three hundred fifty-seven".

Divisors: 1 3 9 17 51 97 153 291 677 873 1649 2031 4947 6093 11509 14841 34527 65669 103581 197007 591021 1116373 3349119 10047357