Search a number
-
+
30124162260 = 22325533157669
BaseRepresentation
bin11100000011100010…
…100011110011010100
32212202101220222222100
4130003202203303110
5443143241143020
621501105202100
72114335103643
oct340342436324
985671828870
1030124162260
1111859338a75
125a08630330
132ac10186aa
14165ab2935a
15bb49a2a90
hex7038a3cd4

30124162260 has 72 divisors (see below), whose sum is σ = 93100742280. Its totient is φ = 7881539328.

The previous prime is 30124162219. The next prime is 30124162267. The reversal of 30124162260 is 6226142103.

30124162260 is a `hidden beast` number, since 30 + 1 + 2 + 4 + 1 + 622 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71166096 + 30052996164 = 8436^2 + 173358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30124162267) 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, 1569295 + ... + 1588374.

It is an arithmetic number, because the mean of its divisors is an integer number (1293065865).

Almost surely, 230124162260 is an apocalyptic number.

30124162260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30124162260 is an abundant number, since it is smaller than the sum of its proper divisors (62976580020).

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

30124162260 is a wasteful number, since it uses less digits than its factorization.

30124162260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157737 (or 3157732 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30124162260 in words is "thirty billion, one hundred twenty-four million, one hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 3157669 6315338 9473007 12630676 15788345 18946014 28419021 31576690 37892028 47365035 56838042 63153380 94730070 113676084 142095105 167356457 189460140 284190210 334712914 502069371 568380420 669425828 836782285 1004138742 1506208113 1673564570 2008277484 2510346855 3012416226 3347129140 5020693710 6024832452 7531040565 10041387420 15062081130 30124162260