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452030130 = 232561137601
BaseRepresentation
bin11010111100010…
…110111010110010
31011111120111202200
4122330112322302
51411204431010
6112504324030
714126123046
oct3274267262
91144514680
10452030130
11212182a22
12107473616
137285aa66
144406a026
1529a3ecc0
hex1af16eb2

452030130 has 96 divisors (see below), whose sum is σ = 1205266608. Its totient is φ = 117504000.

The previous prime is 452030129. The next prime is 452030203. The reversal of 452030130 is 31030254.

It can be written as a sum of positive squares in 8 ways, for example, as 162792081 + 289238049 = 12759^2 + 17007^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751830 + ... + 752430.

Almost surely, 2452030130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452030130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602633304).

452030130 is an abundant number, since it is smaller than the sum of its proper divisors (753236478).

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

452030130 is a wasteful number, since it uses less digits than its factorization.

452030130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 452030130 is about 21261.0002116551. Note that the first 3 decimals coincide. The cubic root of 452030130 is about 767.4600799051.

Adding to 452030130 its reverse (31030254), we get a palindrome (483060384).

The spelling of 452030130 in words is "four hundred fifty-two million, thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 137 183 274 305 366 411 549 601 610 685 822 915 1098 1202 1233 1370 1803 1830 2055 2466 2745 3005 3606 4110 5409 5490 6010 6165 8357 9015 10818 12330 16714 18030 25071 27045 36661 41785 50142 54090 73322 75213 82337 83570 109983 125355 150426 164674 183305 219966 247011 250710 329949 366610 376065 411685 494022 549915 659898 741033 752130 823370 1099830 1235055 1482066 1649745 2470110 3299490 3705165 5022557 7410330 10045114 15067671 25112785 30135342 45203013 50225570 75338355 90406026 150676710 226015065 452030130