Search a number
-
+
505714920 = 23354214291
BaseRepresentation
bin11110001001001…
…001100011101000
31022020120222110020
4132021021203220
52013430334140
6122103120440
715350335344
oct3611114350
91266528406
10505714920
1123a510117
12121443120
1380a063c9
144b242624
152e5e66d0
hex1e2498e8

505714920 has 32 divisors (see below), whose sum is σ = 1517145120. Its totient is φ = 134857280.

The previous prime is 505714907. The next prime is 505714921. The reversal of 505714920 is 29417505.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (505714921) 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 7 ways as a sum of consecutive naturals, for example, 2107026 + ... + 2107265.

It is an arithmetic number, because the mean of its divisors is an integer number (47410785).

Almost surely, 2505714920 is an apocalyptic number.

It is an amenable number.

505714920 is an abundant number, since it is smaller than the sum of its proper divisors (1011430200).

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

505714920 is a wasteful number, since it uses less digits than its factorization.

505714920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214305 (or 4214301 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 505714920 is about 22488.1061897173. The cubic root of 505714920 is about 796.7130341490.

The spelling of 505714920 in words is "five hundred five million, seven hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4214291 8428582 12642873 16857164 21071455 25285746 33714328 42142910 50571492 63214365 84285820 101142984 126428730 168571640 252857460 505714920