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14792085 = 3357111423
BaseRepresentation
bin111000011011…
…010110010101
31000211111221000
4320123112111
512241321320
61245013513
7236505420
oct70332625
930744830
1014792085
118393570
124b54299
1330abb19
141d709b7
151472c90
hexe1b595

14792085 has 64 divisors (see below), whose sum is σ = 32808960. Its totient is φ = 6143040.

The previous prime is 14792083. The next prime is 14792101. The reversal of 14792085 is 58029741.

It is not a de Polignac number, because 14792085 - 21 = 14792083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14792083) 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 63 ways as a sum of consecutive naturals, for example, 9684 + ... + 11106.

It is an arithmetic number, because the mean of its divisors is an integer number (512640).

Almost surely, 214792085 is an apocalyptic number.

14792085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14792085 is an abundant number, since it is smaller than the sum of its proper divisors (18016875).

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

14792085 is a wasteful number, since it uses less digits than its factorization.

14792085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14792085 is about 3846.0479716197. The cubic root of 14792085 is about 245.4764295864.

The spelling of 14792085 in words is "fourteen million, seven hundred ninety-two thousand, eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1423 1485 2079 3465 4269 7115 9961 10395 12807 15653 21345 29883 38421 46959 49805 64035 78265 89649 109571 140877 149415 192105 234795 268947 328713 422631 448245 547855 704385 986139 1344735 1643565 2113155 2958417 4930695 14792085