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422069760 = 2932572617
BaseRepresentation
bin11001001010000…
…100011000000000
31002102012100212100
4121022010120000
51331022213020
6105514230400
713313351040
oct3112043000
91072170770
10422069760
111a727a292
12b9425400
136959ab28
14400ab720
15270c2a90
hex19284600

422069760 has 240 divisors, whose sum is σ = 1671205536. Its totient is φ = 96436224.

The previous prime is 422069759. The next prime is 422069771. The reversal of 422069760 is 67960224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159972 + ... + 162588.

Almost surely, 2422069760 is an apocalyptic number.

422069760 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 422069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835602768).

422069760 is an abundant number, since it is smaller than the sum of its proper divisors (1249135776).

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

422069760 is a wasteful number, since it uses less digits than its factorization.

422069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 422069760 is about 20544.3364458432. The cubic root of 422069760 is about 750.1153955776.

The spelling of 422069760 in words is "four hundred twenty-two million, sixty-nine thousand, seven hundred sixty".