Search a number
-
+
30864561 = 3721331521
BaseRepresentation
bin111010110111…
…1010010110001
32011002002012220
41311233102301
530400131221
63021311253
7523226100
oct165572261
964062186
1030864561
1116471002
12a405529
136518670
144156037
152a9a0c6
hex1d6f4b1

30864561 has 48 divisors (see below), whose sum is σ = 53319168. Its totient is φ = 15724800.

The previous prime is 30864557. The next prime is 30864563. The reversal of 30864561 is 16546803.

It is not a de Polignac number, because 30864561 - 22 = 30864557 is a prime.

It is a super-2 number, since 2×308645612 = 1905242251445442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30864563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58981 + ... + 59501.

It is an arithmetic number, because the mean of its divisors is an integer number (1110816).

Almost surely, 230864561 is an apocalyptic number.

30864561 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

30864561 is a deficient number, since it is larger than the sum of its proper divisors (22454607).

30864561 is a wasteful number, since it uses less digits than its factorization.

30864561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 30864561 is about 5555.5882676815. The cubic root of 30864561 is about 313.6799076240.

The spelling of 30864561 in words is "thirty million, eight hundred sixty-four thousand, five hundred sixty-one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 403 521 637 651 1209 1519 1563 1911 2821 3647 4557 6773 8463 10941 16151 19747 20319 25529 47411 48453 59241 76587 113057 142233 209963 331877 339171 629889 791399 995631 1469741 2374197 4409223 10288187 30864561