Search a number
-
+
531135012 = 223177932957
BaseRepresentation
bin11111101010000…
…111101000100100
31101000102110021010
4133222013220210
52041432310022
6124412022220
716106400402
oct3752075044
91330373233
10531135012
112528a2661
12129a61970
1386066895
145077c472
153196850c
hex1fa87a24

531135012 has 48 divisors (see below), whose sum is σ = 1328866560. Its totient is φ = 164516352.

The previous prime is 531134993. The next prime is 531135019. The reversal of 531135012 is 210531135.

It is a self number, because there is not a number n which added to its sum of digits gives 531135012.

It is not an unprimeable number, because it can be changed into a prime (531135019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363 + ... + 32594.

It is an arithmetic number, because the mean of its divisors is an integer number (27684720).

Almost surely, 2531135012 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 531135012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664433280).

531135012 is an abundant number, since it is smaller than the sum of its proper divisors (797731548).

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

531135012 is a wasteful number, since it uses less digits than its factorization.

531135012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33060 (or 33058 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 531135012 is about 23046.3665682901. The cubic root of 531135012 is about 809.8445121450.

Adding to 531135012 its reverse (210531135), we get a palindrome (741666147).

The spelling of 531135012 in words is "five hundred thirty-one million, one hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 4029 5372 8058 16116 32957 65914 98871 131828 197742 395484 560269 1120538 1680807 2241076 2603603 3361614 5207206 6723228 7810809 10414412 15621618 31243236 44261251 88522502 132783753 177045004 265567506 531135012