Search a number
-
+
423650560 = 28529101113
BaseRepresentation
bin11001010000000…
…110010100000000
31002112011200022111
4121100012110000
51331423304220
6110012145104
713332653554
oct3120062400
91075150274
10423650560
111a8159a33
12b9a68194
1369a02508
144039d864
15272d615a
hex19406500

423650560 has 144 divisors (see below), whose sum is σ = 1069543440. Its totient is φ = 160563200.

The previous prime is 423650497. The next prime is 423650561. The reversal of 423650560 is 65056324.

It can be written as a sum of positive squares in 8 ways, for example, as 3564544 + 420086016 = 1888^2 + 20496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423650561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3749064 + ... + 3749176.

It is an arithmetic number, because the mean of its divisors is an integer number (7427385).

Almost surely, 2423650560 is an apocalyptic number.

423650560 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 423650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534771720).

423650560 is an abundant number, since it is smaller than the sum of its proper divisors (645892880).

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

423650560 is a wasteful number, since it uses less digits than its factorization.

423650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 423650560 is about 20582.7733796979. The cubic root of 423650560 is about 751.0507110248.

The spelling of 423650560 in words is "four hundred twenty-three million, six hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 101 113 116 128 145 160 202 226 232 256 290 320 404 452 464 505 565 580 640 808 904 928 1010 1130 1160 1280 1616 1808 1856 2020 2260 2320 2929 3232 3277 3616 3712 4040 4520 4640 5858 6464 6554 7232 7424 8080 9040 9280 11413 11716 12928 13108 14464 14645 16160 16385 18080 18560 22826 23432 25856 26216 28928 29290 32320 32770 36160 37120 45652 46864 52432 57065 58580 64640 65540 72320 91304 93728 104864 114130 117160 129280 131080 144640 182608 187456 209728 228260 234320 262160 330977 365216 374912 419456 456520 468640 524320 661954 730432 749824 838912 913040 937280 1048640 1323908 1460864 1654885 1826080 1874560 2097280 2647816 2921728 3309770 3652160 3749120 4194560 5295632 6619540 7304320 10591264 13239080 14608640 21182528 26478160 42365056 52956320 84730112 105912640 211825280 423650560