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30032540 = 22517194649
BaseRepresentation
bin111001010010…
…0001010011100
32002111210220022
41302210022130
530142020130
62551411312
7513162266
oct162441234
962453808
1030032540
1115a5298a
12a083b38
1362b6a45
143dbab36
1529837e5
hex1ca429c

30032540 has 48 divisors (see below), whose sum is σ = 70308000. Its totient is φ = 10708992.

The previous prime is 30032473. The next prime is 30032543. The reversal of 30032540 is 4523003.

30032540 = T55 + T56 + ... + T564.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30032543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4136 + ... + 8784.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 230032540 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 30032540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154000).

30032540 is an abundant number, since it is smaller than the sum of its proper divisors (40275460).

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

30032540 is a wasteful number, since it uses less digits than its factorization.

30032540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 30032540 is about 5480.1952519960. The cubic root of 30032540 is about 310.8355537188.

Adding to 30032540 its reverse (4523003), we get a palindrome (34555543).

The spelling of 30032540 in words is "thirty million, thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 4649 6460 9298 18596 23245 46490 79033 88331 92980 158066 176662 316132 353324 395165 441655 790330 883310 1501627 1580660 1766620 3003254 6006508 7508135 15016270 30032540