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20829135 = 359191511
BaseRepresentation
bin100111101110…
…1001111001111
31110012020012110
41033131033033
520313013020
62022235103
7342021225
oct117351717
943166173
1020829135
1110837268
126b85a93
134413942
142aa2b15
151c668e0
hex13dd3cf

20829135 has 16 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 11089440.

The previous prime is 20829103. The next prime is 20829167. The reversal of 20829135 is 53192802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20829103) and next prime (20829167).

It is not a de Polignac number, because 20829135 - 25 = 20829103 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13030 + ... + 14540.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 220829135 is an apocalyptic number.

20829135 is a deficient number, since it is larger than the sum of its proper divisors (12555825).

20829135 is a wasteful number, since it uses less digits than its factorization.

20829135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20829135 is about 4563.8947183299. The cubic root of 20829135 is about 275.1421193778.

The spelling of 20829135 in words is "twenty million, eight hundred twenty-nine thousand, one hundred thirty-five".

Divisors: 1 3 5 15 919 1511 2757 4533 4595 7555 13785 22665 1388609 4165827 6943045 20829135