Search a number
-
+
645126030 = 23251731459
BaseRepresentation
bin100110011100111…
…101011110001110
31122221220210112200
4212130331132032
52310123013110
6144003142330
721662323623
oct4634753616
91587823480
10645126030
1130117a80a
121600749a6
13a38686a3
146197234a
153b9836c0
hex2673d78e

645126030 has 96 divisors (see below), whose sum is σ = 1783360800. Its totient is φ = 161803008.

The previous prime is 645126007. The next prime is 645126037. The reversal of 645126030 is 30621546.

645126030 is a `hidden beast` number, since 6 + 4 + 51 + 2 + 603 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 645125985 and 645126003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645126037) 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, 441441 + ... + 442899.

It is an arithmetic number, because the mean of its divisors is an integer number (18576675).

Almost surely, 2645126030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645126030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891680400).

645126030 is an abundant number, since it is smaller than the sum of its proper divisors (1138234770).

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

645126030 is a wasteful number, since it uses less digits than its factorization.

645126030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 645126030 is about 25399.3312904100. The cubic root of 645126030 is about 864.0685307653.

Adding to 645126030 its reverse (30621546), we get a palindrome (675747576).

The spelling of 645126030 in words is "six hundred forty-five million, one hundred twenty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1459 1530 1734 2601 2890 2918 4335 4377 4913 5202 7295 8670 8754 9826 13005 13131 14590 14739 21885 24565 24803 26010 26262 29478 43770 44217 49130 49606 65655 73695 74409 88434 124015 131310 147390 148818 221085 223227 248030 372045 421651 442170 446454 744090 843302 1116135 1264953 2108255 2232270 2529906 3794859 4216510 6324765 7168067 7589718 12649530 14336134 18974295 21504201 35840335 37948590 43008402 64512603 71680670 107521005 129025206 215042010 322563015 645126030