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531930 = 235717149
BaseRepresentation
bin10000001110111011010
31000000200010
42001313122
5114010210
615222350
74343550
oct2016732
91000603
10531930
11333713
122179b6
13158169
14dbbd0
15a7920
hex81dda

531930 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 113664.

The previous prime is 531919. The next prime is 531977. The reversal of 531930 is 39135.

531930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 531897 and 531906.

It is an unprimeable number.

531930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3496 + ... + 3644.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2531930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

531930 is an abundant number, since it is smaller than the sum of its proper divisors (1023270).

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

531930 is a wasteful number, since it uses less digits than its factorization.

531930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 531930 is about 729.3353138303. The cubic root of 531930 is about 81.0248361578.

The spelling of 531930 in words is "five hundred thirty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 149 170 210 238 255 298 357 447 510 595 714 745 894 1043 1190 1490 1785 2086 2235 2533 3129 3570 4470 5066 5215 6258 7599 10430 12665 15198 15645 17731 25330 31290 35462 37995 53193 75990 88655 106386 177310 265965 531930