Search a number
-
+
530132004 = 2232373371181
BaseRepresentation
bin11111100110010…
…010110000100100
31100221112111101200
4133212102300210
52041203211004
6124334322500
716065022233
oct3746226044
91327474350
10530132004
11252278026
12129659430
1385aa519c
145059ab1a
153181b239
hex1f992c24

530132004 has 72 divisors (see below), whose sum is σ = 1381526328. Its totient is φ = 171279360.

The previous prime is 530132003. The next prime is 530132089. The reversal of 530132004 is 400231035.

530132004 is a `hidden beast` number, since 530 + 132 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 244859904 + 285272100 = 15648^2 + 16890^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (530132003) 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, 448294 + ... + 449474.

Almost surely, 2530132004 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 530132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690763164).

530132004 is an abundant number, since it is smaller than the sum of its proper divisors (851394324).

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

530132004 is a wasteful number, since it uses less digits than its factorization.

530132004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 530132004 is about 23024.5956316284. The cubic root of 530132004 is about 809.3344143650.

Adding to 530132004 its reverse (400231035), we get a palindrome (930363039).

The spelling of 530132004 in words is "five hundred thirty million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 337 444 666 674 1011 1181 1332 1348 2022 2362 3033 3543 4044 4724 6066 7086 10629 12132 12469 14172 21258 24938 37407 42516 43697 49876 74814 87394 112221 131091 149628 174788 224442 262182 393273 397997 448884 524364 786546 795994 1193991 1573092 1591988 2387982 3581973 4775964 7163946 14327892 14725889 29451778 44177667 58903556 88355334 132533001 176710668 265066002 530132004