Search a number
-
+
421639680 = 29357112331
BaseRepresentation
bin11001001000011…
…011011000000000
31002101101111220110
4121020123120000
51330414432210
6105501111320
713306610130
oct3110333000
91071344813
10421639680
111a7006150
12b9258540
136947a147
143ddd8ac0
152703a420
hex1921b600

421639680 has 640 divisors, whose sum is σ = 1810169856. Its totient is φ = 81100800.

The previous prime is 421639663. The next prime is 421639723. The reversal of 421639680 is 86936124.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13601265 + ... + 13601295.

Almost surely, 2421639680 is an apocalyptic number.

421639680 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 421639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905084928).

421639680 is an abundant number, since it is smaller than the sum of its proper divisors (1388530176).

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

421639680 is a wasteful number, since it uses less digits than its factorization.

421639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 421639680 is about 20533.8666597404. The cubic root of 421639680 is about 749.8605251751.

The spelling of 421639680 in words is "four hundred twenty-one million, six hundred thirty-nine thousand, six hundred eighty".