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452013420 = 223519439221
BaseRepresentation
bin11010111100010…
…010110101101100
31011111112122211210
4122330102311230
51411203412140
6112504114420
714126023245
oct3274226554
91144478753
10452013420
11212171411
12107465a10
1372853281
1444063ccc
1529a39d80
hex1af12d6c

452013420 has 96 divisors (see below), whose sum is σ = 1363380480. Its totient is φ = 111525120.

The previous prime is 452013413. The next prime is 452013437. The reversal of 452013420 is 24310254.

It is a super-2 number, since 2×4520134202 = 408632263720192800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44410 + ... + 53630.

It is an arithmetic number, because the mean of its divisors is an integer number (14201880).

Almost surely, 2452013420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681690240).

452013420 is an abundant number, since it is smaller than the sum of its proper divisors (911367060).

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

452013420 is a wasteful number, since it uses less digits than its factorization.

452013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9295 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 452013420 is about 21260.6072349780. The cubic root of 452013420 is about 767.4506230016.

Adding to 452013420 its reverse (24310254), we get a palindrome (476323674).

The spelling of 452013420 in words is "four hundred fifty-two million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 129 172 190 215 228 258 285 380 430 516 570 645 817 860 1140 1290 1634 2451 2580 3268 4085 4902 8170 9221 9804 12255 16340 18442 24510 27663 36884 46105 49020 55326 92210 110652 138315 175199 184420 276630 350398 396503 525597 553260 700796 793006 875995 1051194 1189509 1586012 1751990 1982515 2102388 2379018 2627985 3503980 3965030 4758036 5255970 5947545 7533557 7930060 10511940 11895090 15067114 22600671 23790180 30134228 37667785 45201342 75335570 90402684 113003355 150671140 226006710 452013420