Search a number
-
+
2403006030 = 2325137194891
BaseRepresentation
bin1000111100111010…
…1111011001001110
320012110200100120100
42033032233121032
514410132143110
61034240431530
7113356133325
oct21716573116
96173610510
102403006030
111023485aa7
125709185a6
132c3acbc79
1418b2030bc
15e0e6bbc0
hex8f3af64e

2403006030 has 48 divisors (see below), whose sum is σ = 6293452464. Its totient is φ = 636120960.

The previous prime is 2403006017. The next prime is 2403006031. The reversal of 2403006030 is 306003042.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2403005994 and 2403006012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2403006031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85116 + ... + 109775.

It is an arithmetic number, because the mean of its divisors is an integer number (131113593).

Almost surely, 22403006030 is an apocalyptic number.

2403006030 is an abundant number, since it is smaller than the sum of its proper divisors (3890446434).

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

2403006030 is a wasteful number, since it uses less digits than its factorization.

2403006030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195041 (or 195038 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2403006030 is about 49020.4654200672. The cubic root of 2403006030 is about 1339.4246490412.

Adding to 2403006030 its reverse (306003042), we get a palindrome (2709009072).

The spelling of 2403006030 in words is "two billion, four hundred three million, six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 194891 389782 584673 974455 1169346 1754019 1948910 2923365 3508038 5846730 8770095 17540190 26700067 53400134 80100201 133500335 160200402 240300603 267000670 400501005 480601206 801002010 1201503015 2403006030