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423258720 = 25358391051
BaseRepresentation
bin11001001110100…
…110101001100000
31002111102202210220
4121032212221200
51331323234340
6105555523040
713326432303
oct3116465140
91074382726
10423258720
111a7a115a5
12b98b9480
13698c6061
14402dab3a
1527259ed0
hex193a6a60

423258720 has 96 divisors (see below), whose sum is σ = 1336124160. Its totient is φ = 112627200.

The previous prime is 423258701. The next prime is 423258721. The reversal of 423258720 is 27852324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423258721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402195 + ... + 403245.

It is an arithmetic number, because the mean of its divisors is an integer number (13917960).

Almost surely, 2423258720 is an apocalyptic number.

423258720 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 423258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668062080).

423258720 is an abundant number, since it is smaller than the sum of its proper divisors (912865440).

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

423258720 is a wasteful number, since it uses less digits than its factorization.

423258720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 423258720 is about 20573.2525381866. The cubic root of 423258720 is about 750.8190873578.

The spelling of 423258720 in words is "four hundred twenty-three million, two hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 839 1051 1678 2102 2517 3153 3356 4195 4204 5034 5255 6306 6712 8390 8408 10068 10510 12585 12612 13424 15765 16780 16816 20136 21020 25170 25224 26848 31530 33560 33632 40272 42040 50340 50448 63060 67120 80544 84080 100680 100896 126120 134240 168160 201360 252240 402720 504480 881789 1763578 2645367 3527156 4408945 5290734 7054312 8817890 10581468 13226835 14108624 17635780 21162936 26453670 28217248 35271560 42325872 52907340 70543120 84651744 105814680 141086240 211629360 423258720