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421100640 = 25335107911
BaseRepresentation
bin11001000110010…
…111110001100000
31002100101010111000
4121012113301200
51330300210030
6105441352000
713302203442
oct3106276140
91070333430
10421100640
111a6778164
12b9038600
136931b99c
143dcd8492
1526e80860
hex19197c60

421100640 has 192 divisors, whose sum is σ = 1489259520. Its totient is φ = 111121920.

The previous prime is 421100633. The next prime is 421100651. The reversal of 421100640 is 46001124.

421100640 is a `hidden beast` number, since 4 + 21 + 1 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 461785 + ... + 462695.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2421100640 is an apocalyptic number.

421100640 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 421100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744629760).

421100640 is an abundant number, since it is smaller than the sum of its proper divisors (1068158880).

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

421100640 is a wasteful number, since it uses less digits than its factorization.

421100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 421100640 is about 20520.7368288763. The cubic root of 421100640 is about 749.5408389522.

Adding to 421100640 its reverse (46001124), we get a palindrome (467101764).

The spelling of 421100640 in words is "four hundred twenty-one million, one hundred thousand, six hundred forty".