Search a number
-
+
423513200 = 245211101953
BaseRepresentation
bin11001001111100…
…100110001110000
31002111220200220002
4121033210301300
51331404410300
6110005205132
713331542235
oct3117446160
91074820802
10423513200
111a8075810
12b9a007a8
1369984b36
144036578c
15272aa5d5
hex193e4c70

423513200 has 120 divisors (see below), whose sum is σ = 1122155856. Its totient is φ = 152320000.

The previous prime is 423513157. The next prime is 423513239. The reversal of 423513200 is 2315324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443924 + ... + 444876.

Almost surely, 2423513200 is an apocalyptic number.

423513200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561077928).

423513200 is an abundant number, since it is smaller than the sum of its proper divisors (698642656).

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

423513200 is a wasteful number, since it uses less digits than its factorization.

423513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 423513200 is about 20579.4363382479. The cubic root of 423513200 is about 750.9695313238.

Adding to 423513200 its reverse (2315324), we get a palindrome (425828524).

The spelling of 423513200 in words is "four hundred twenty-three million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 953 1010 1100 1111 1616 1906 2020 2200 2222 2525 3812 4040 4400 4444 4765 5050 5555 7624 8080 8888 9530 10100 10483 11110 15248 17776 19060 20200 20966 22220 23825 27775 38120 40400 41932 44440 47650 52415 55550 76240 83864 88880 95300 96253 104830 111100 167728 190600 192506 209660 222200 262075 381200 385012 419320 444400 481265 524150 770024 838640 962530 1048300 1058783 1540048 1925060 2096600 2117566 2406325 3850120 4193200 4235132 4812650 5293915 7700240 8470264 9625300 10587830 16940528 19250600 21175660 26469575 38501200 42351320 52939150 84702640 105878300 211756600 423513200