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4132530 = 2325173773
BaseRepresentation
bin1111110000111010110010
321202221202200
433300322302
52024220110
6224324030
750061123
oct17607262
97687680
104132530
112372916
121473616
13b18cac
1479804a
155696c0
hex3f0eb2

4132530 has 96 divisors (see below), whose sum is σ = 11844144. Its totient is φ = 995328.

The previous prime is 4132511. The next prime is 4132553. The reversal of 4132530 is 352314.

4132530 is a `hidden beast` number, since 4 + 132 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3359889 + 772641 = 1833^2 + 879^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56574 + ... + 56646.

Almost surely, 24132530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922072).

4132530 is an abundant number, since it is smaller than the sum of its proper divisors (7711614).

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

4132530 is a wasteful number, since it uses less digits than its factorization.

4132530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

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

The square root of 4132530 is about 2032.8625137967. The cubic root of 4132530 is about 160.4742439819.

Adding to 4132530 its reverse (352314), we get a palindrome (4484844).

The spelling of 4132530 in words is "four million, one hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 73 74 85 90 102 111 146 153 170 185 219 222 255 306 333 365 370 438 510 555 629 657 666 730 765 1095 1110 1241 1258 1314 1530 1665 1887 2190 2482 2701 3145 3285 3330 3723 3774 5402 5661 6205 6290 6570 7446 8103 9435 11169 11322 12410 13505 16206 18615 18870 22338 24309 27010 28305 37230 40515 45917 48618 55845 56610 81030 91834 111690 121545 137751 229585 243090 275502 413253 459170 688755 826506 1377510 2066265 4132530