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10047345 = 357118699
BaseRepresentation
bin100110010100…
…111101110001
3200220110100220
4212110331301
510033003340
6555203253
7151254360
oct46247561
920813326
1010047345
1157427a0
123446529
13210a299
1414977d7
15d36ed0
hex994f71

10047345 has 32 divisors (see below), whose sum is σ = 20044800. Its totient is φ = 4175040.

The previous prime is 10047329. The next prime is 10047347. The reversal of 10047345 is 54374001.

It is not a de Polignac number, because 10047345 - 24 = 10047329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10047347) 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 31 ways as a sum of consecutive naturals, for example, 3195 + ... + 5504.

It is an arithmetic number, because the mean of its divisors is an integer number (626400).

Almost surely, 210047345 is an apocalyptic number.

10047345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10047345 is a deficient number, since it is larger than the sum of its proper divisors (9997455).

10047345 is a wasteful number, since it uses less digits than its factorization.

10047345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 10047345 is about 3169.7547223721. The cubic root of 10047345 is about 215.7829395258.

The spelling of 10047345 in words is "ten million, forty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 8699 26097 43495 60893 95689 130485 182679 287067 304465 478445 669823 913395 1435335 2009469 3349115 10047345