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10079685 = 3257112909
BaseRepresentation
bin100110011100…
…110111000101
3200222002201200
4212130313011
510040022220
61000013113
7151450560
oct46346705
920862650
1010079685
115765020
123461199
13211bc15
1414a54d7
15d41890
hex99cdc5

10079685 has 48 divisors (see below), whose sum is σ = 21790080. Its totient is φ = 4187520.

The previous prime is 10079677. The next prime is 10079687. The reversal of 10079685 is 58697001.

It is not a de Polignac number, because 10079685 - 23 = 10079677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079687) 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 47 ways as a sum of consecutive naturals, for example, 2011 + ... + 4919.

It is an arithmetic number, because the mean of its divisors is an integer number (453960).

Almost surely, 210079685 is an apocalyptic number.

10079685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10079685 is an abundant number, since it is smaller than the sum of its proper divisors (11710395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10079685 is a wasteful number, since it uses less digits than its factorization.

10079685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10079685 is about 3174.8519650529. The cubic root of 10079685 is about 216.0142094562.

The spelling of 10079685 in words is "ten million, seventy-nine thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 2909 3465 8727 14545 20363 26181 31999 43635 61089 95997 101815 130905 159995 183267 223993 287991 305445 479985 671979 916335 1119965 1439955 2015937 3359895 10079685