Search a number
-
+
423869760 = 263652379
BaseRepresentation
bin11001010000111…
…011110101000000
31002112120211000000
4121100323311000
51332002313020
6110021000000
713334555616
oct3120736500
91075524000
10423869760
111a8299696
12b9b53000
1369a7b212
14404196b6
152732b090
hex1943bd40

423869760 has 392 divisors, whose sum is σ = 1599102720. Its totient is φ = 106748928.

The previous prime is 423869749. The next prime is 423869773. The reversal of 423869760 is 67968324.

423869760 is a `hidden beast` number, since 423 + 86 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 5365401 + ... + 5365479.

Almost surely, 2423869760 is an apocalyptic number.

423869760 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 423869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799551360).

423869760 is an abundant number, since it is smaller than the sum of its proper divisors (1175232960).

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

423869760 is an equidigital number, since it uses as much as digits as its factorization.

423869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 423869760 is about 20588.0975323122. The cubic root of 423869760 is about 751.1802217945.

The spelling of 423869760 in words is "four hundred twenty-three million, eight hundred sixty-nine thousand, seven hundred sixty".