Search a number
-
+
531351040 = 2951118869
BaseRepresentation
bin11111101010111…
…100011000000000
31101000211102121011
4133222330120000
52042011213130
6124420410304
716111260253
oct3752743000
91330742534
10531351040
11252a2a9a0
12129b46994
1386110ccc
14507d709a
15319ac52a
hex1fabc600

531351040 has 80 divisors (see below), whose sum is σ = 1389888720. Its totient is φ = 193208320.

The previous prime is 531350993. The next prime is 531351047. The reversal of 531351040 is 40153135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531351047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18726 + ... + 37594.

It is an arithmetic number, because the mean of its divisors is an integer number (17373609).

Almost surely, 2531351040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944360).

531351040 is an abundant number, since it is smaller than the sum of its proper divisors (858537680).

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

531351040 is a wasteful number, since it uses less digits than its factorization.

531351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18903 (or 18887 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 531351040 is about 23051.0529043686. The cubic root of 531351040 is about 809.9542930059.

The spelling of 531351040 in words is "five hundred thirty-one million, three hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 18869 28160 37738 75476 94345 150952 188690 207559 301904 377380 415118 603808 754760 830236 1037795 1207616 1509520 1660472 2075590 2415232 3019040 3320944 4151180 4830464 6038080 6641888 8302360 9660928 12076160 13283776 16604720 24152320 26567552 33209440 48304640 53135104 66418880 106270208 132837760 265675520 531351040