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531990 = 232523257
BaseRepresentation
bin10000001111000010110
31000000202100
42001320112
5114010430
615222530
74343664
oct2017026
91000670
10531990
11333768
12217a46
131581b4
14dbc34
15a7960
hex81e16

531990 has 48 divisors (see below), whose sum is σ = 1448928. Its totient is φ = 135168.

The previous prime is 531989. The next prime is 531997. The reversal of 531990 is 99135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1942 + ... + 2198.

It is an arithmetic number, because the mean of its divisors is an integer number (30186).

2531990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724464).

531990 is an abundant number, since it is smaller than the sum of its proper divisors (916938).

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

531990 is a wasteful number, since it uses less digits than its factorization.

With its successor (531991) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (293).

531990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 531990 is about 729.3764460140. The cubic root of 531990 is about 81.0278824906.

It can be divided in two parts, 531 and 990, that added together give a square (1521 = 392).

The spelling of 531990 in words is "five hundred thirty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 257 345 414 514 690 771 1035 1285 1542 2070 2313 2570 3855 4626 5911 7710 11565 11822 17733 23130 29555 35466 53199 59110 88665 106398 177330 265995 531990