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421420240 = 2457372161
BaseRepresentation
bin11001000111100…
…101110011010000
31002100222100220001
4121013211303100
51330340421430
6105452255344
713305004303
oct3107456320
91070870801
10421420240
111a697629a
12b9171554
13694012b7
143dd7cb3a
1526ee53ca
hex191e5cd0

421420240 has 40 divisors (see below), whose sum is σ = 993237768. Its totient is φ = 166256640.

The previous prime is 421420217. The next prime is 421420243. The reversal of 421420240 is 42024124.

It can be written as a sum of positive squares in 4 ways, for example, as 128051856 + 293368384 = 11316^2 + 17128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421420243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30241 + ... + 41920.

Almost surely, 2421420240 is an apocalyptic number.

421420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421420240 is an abundant number, since it is smaller than the sum of its proper divisors (571817528).

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

421420240 is a wasteful number, since it uses less digits than its factorization.

421420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72247 (or 72241 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 421420240 is about 20528.5225966215. The cubic root of 421420240 is about 749.7304157033.

Adding to 421420240 its reverse (42024124), we get a palindrome (463444364).

The spelling of 421420240 in words is "four hundred twenty-one million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 72161 144322 288644 360805 577288 721610 1154576 1443220 2886440 5267753 5772880 10535506 21071012 26338765 42142024 52677530 84284048 105355060 210710120 421420240