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531006 = 23747269
BaseRepresentation
bin10000001101000111110
3222222101220
42001220332
5113443011
615214210
74341060
oct2015076
9888356
10531006
11332a53
12217366
13157908
14db730
15a7506
hex81a3e

531006 has 32 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 147936.

The previous prime is 530989. The next prime is 531017. The reversal of 531006 is 600135.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1840 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2531006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

531006 is an abundant number, since it is smaller than the sum of its proper divisors (713154).

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

531006 is a wasteful number, since it uses less digits than its factorization.

With its successor (531007) it forms an eRAP, since the sums of their prime factors are consecutive (328 and 329).

531006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 531006 is about 728.7015850127. The cubic root of 531006 is about 80.9778936778.

The spelling of 531006 in words is "five hundred thirty-one thousand, six".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 269 282 329 538 658 807 987 1614 1883 1974 3766 5649 11298 12643 25286 37929 75858 88501 177002 265503 531006