Search a number
-
+
421422120 = 233257891879
BaseRepresentation
bin11001000111100…
…110010000101000
31002100222110110200
4121013212100220
51330341001440
6105452312200
713305012630
oct3107462050
91070873420
10421422120
111a6977749
12b9172660
1369402102
143dd7d6c0
1526ee5c30
hex191e6428

421422120 has 192 divisors, whose sum is σ = 1583712000. Its totient is φ = 95192064.

The previous prime is 421422097. The next prime is 421422143. The reversal of 421422120 is 21224124.

421422120 is a `hidden beast` number, since 421 + 4 + 221 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (421422097) and next prime (421422143).

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

It is a junction number, because it is equal to n+sod(n) for n = 421422093 and 421422102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223341 + ... + 225219.

It is an arithmetic number, because the mean of its divisors is an integer number (8248500).

Almost surely, 2421422120 is an apocalyptic number.

421422120 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 421422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791856000).

421422120 is an abundant number, since it is smaller than the sum of its proper divisors (1162289880).

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

421422120 is a wasteful number, since it uses less digits than its factorization.

421422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 421422120 is about 20528.5683865193. The cubic root of 421422120 is about 749.7315305770.

Adding to 421422120 its reverse (21224124), we get a palindrome (442646244).

The spelling of 421422120 in words is "four hundred twenty-one million, four hundred twenty-two thousand, one hundred twenty".