Search a number
-
+
421667064 = 2332713139463
BaseRepresentation
bin11001001000100…
…010000011111000
31002101102220110200
4121020202003320
51330421321224
6105501442200
713310053020
oct3110420370
91071386420
10421667064
111a7024785
12b9270360
1369489750
1440004a80
15270435c9
hex192220f8

421667064 has 192 divisors, whose sum is σ = 1418726400. Its totient is φ = 110170368.

The previous prime is 421667063. The next prime is 421667069. The reversal of 421667064 is 460766124.

It is a super-2 number, since 2×4216670642 = 355606225724760192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421667063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 910497 + ... + 910959.

It is an arithmetic number, because the mean of its divisors is an integer number (7389200).

Almost surely, 2421667064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421667064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709363200).

421667064 is an abundant number, since it is smaller than the sum of its proper divisors (997059336).

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

421667064 is a wasteful number, since it uses less digits than its factorization.

421667064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 421667064 is about 20534.5334497767. The cubic root of 421667064 is about 749.8767584165.

The spelling of 421667064 in words is "four hundred twenty-one million, six hundred sixty-seven thousand, sixty-four".