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506682 = 23311853
BaseRepresentation
bin1111011101100111010
3221202001000
41323230322
5112203212
614505430
74210131
oct1735472
9852030
10506682
11316750
12205276
13149817
14d2918
15a01dc
hex7bb3a

506682 has 32 divisors (see below), whose sum is σ = 1229760. Its totient is φ = 153360.

The previous prime is 506663. The next prime is 506683. The reversal of 506682 is 286605.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (506683) 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 15 ways as a sum of consecutive naturals, for example, 168 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (38430).

2506682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614880).

506682 is an abundant number, since it is smaller than the sum of its proper divisors (723078).

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

506682 is a wasteful number, since it uses less digits than its factorization.

506682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506682 is about 711.8159874574. The cubic root of 506682 is about 79.7220562929.

The spelling of 506682 in words is "five hundred six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 853 1706 2559 5118 7677 9383 15354 18766 23031 28149 46062 56298 84447 168894 253341 506682