Search a number
-
+
1422408960 = 28325731569
BaseRepresentation
bin101010011001000…
…0011110100000000
310200010111212021100
41110302003310000
510403114041320
6353051054400
750151163620
oct12462036400
93603455240
101422408960
1166aa049a5
12338441400
131988c650b
14d6ca6880
1584d1e790
hex54c83d00

1422408960 has 432 divisors, whose sum is σ = 5816079360. Its totient is φ = 314081280.

The previous prime is 1422408917. The next prime is 1422408961. The reversal of 1422408960 is 698042241.

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 (1422408961) 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, 2499556 + ... + 2500124.

Almost surely, 21422408960 is an apocalyptic number.

1422408960 is a gapful number since it is divisible by the number (10) 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 1422408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908039680).

1422408960 is an abundant number, since it is smaller than the sum of its proper divisors (4393670400).

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

1422408960 is a wasteful number, since it uses less digits than its factorization.

1422408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1422408960 is about 37714.8373985624. The cubic root of 1422408960 is about 1124.6261038968.

The spelling of 1422408960 in words is "one billion, four hundred twenty-two million, four hundred eight thousand, nine hundred sixty".