Search a number
-
+
511056240 = 24352129401
BaseRepresentation
bin11110011101100…
…001100101110000
31022121122100100220
4132131201211300
52021312244430
6122413413040
715443622612
oct3635414560
91277570326
10511056240
11242529132
1212319a180
1381b56656
144bc32db2
152ecee110
hex1e761970

511056240 has 40 divisors (see below), whose sum is σ = 1584275088. Its totient is φ = 136281600.

The previous prime is 511056209. The next prime is 511056253. The reversal of 511056240 is 42650115.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5110562402 = 522356960885875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 511056240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064461 + ... + 1064940.

Almost surely, 2511056240 is an apocalyptic number.

It is an amenable number.

511056240 is an abundant number, since it is smaller than the sum of its proper divisors (1073218848).

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

511056240 is a wasteful number, since it uses less digits than its factorization.

511056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129417 (or 2129411 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 511056240 is about 22606.5530322515. The cubic root of 511056240 is about 799.5081560072.

The spelling of 511056240 in words is "five hundred eleven million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2129401 4258802 6388203 8517604 10647005 12776406 17035208 21294010 25552812 31941015 34070416 42588020 51105624 63882030 85176040 102211248 127764060 170352080 255528120 511056240