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531073540 = 225177321397
BaseRepresentation
bin11111101001111…
…000101000000100
31101000022022221101
4133221320220010
52041423323130
6124410425444
716106023234
oct3751705004
91330268841
10531073540
11252860458
12129a32284
13860448ca
1450763cc4
15319551ca
hex1fa78a04

531073540 has 48 divisors (see below), whose sum is σ = 1197089712. Its totient is φ = 197185536.

The previous prime is 531073531. The next prime is 531073553. The reversal of 531073540 is 45370135.

It can be written as a sum of positive squares in 8 ways, for example, as 97101316 + 433972224 = 9854^2 + 20832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 531073499 and 531073508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14122 + ... + 35518.

It is an arithmetic number, because the mean of its divisors is an integer number (24939369).

Almost surely, 2531073540 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 531073540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598544856).

531073540 is an abundant number, since it is smaller than the sum of its proper divisors (666016172).

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

531073540 is a wasteful number, since it uses less digits than its factorization.

531073540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21496 (or 21494 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 531073540 is about 23045.0328704474. The cubic root of 531073540 is about 809.8132679343.

The spelling of 531073540 in words is "five hundred thirty-one million, seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 12410 21397 24820 42794 85588 106985 213970 363749 427940 727498 1454996 1561981 1818745 3123962 3637490 6247924 7274980 7809905 15619810 26553677 31239620 53107354 106214708 132768385 265536770 531073540