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421701840 = 243257211953
BaseRepresentation
bin11001001000101…
…010100011010000
31002101111200011200
4121020222203100
51330423424330
6105502311200
713310256300
oct3110524320
91071450150
10421701840
111a704891a
12b9288500
136949c521
1440013600
152704da60
hex1922a8d0

421701840 has 180 divisors, whose sum is σ = 1647572004. Its totient is φ = 96380928.

The previous prime is 421701821. The next prime is 421701853. The reversal of 421701840 is 48107124.

It can be written as a sum of positive squares in 2 ways, for example, as 279424656 + 142277184 = 16716^2 + 11928^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29304 + ... + 41256.

Almost surely, 2421701840 is an apocalyptic number.

421701840 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 421701840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823786002).

421701840 is an abundant number, since it is smaller than the sum of its proper divisors (1225870164).

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

421701840 is a wasteful number, since it uses less digits than its factorization.

421701840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11986 (or 11970 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 421701840 is about 20535.3802010092. The cubic root of 421701840 is about 749.8973726241.

Adding to 421701840 its reverse (48107124), we get a palindrome (469808964).

The spelling of 421701840 in words is "four hundred twenty-one million, seven hundred one thousand, eight hundred forty".