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420332240 = 2455254153
BaseRepresentation
bin11001000011011…
…100001011010000
31002021221002102202
4121003130023100
51330101112430
6105413102332
713262523266
oct3103341320
91067832382
10420332240
111a62a2919
12b89279a8
1369110003
143db78436
1526d7cd45
hex190dc2d0

420332240 has 20 divisors (see below), whose sum is σ = 977272644. Its totient is φ = 168132864.

The previous prime is 420332239. The next prime is 420332243. The reversal of 420332240 is 42233024.

It can be written as a sum of positive squares in 2 ways, for example, as 47224384 + 373107856 = 6872^2 + 19316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×4203322403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420332243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2626997 + ... + 2627156.

Almost surely, 2420332240 is an apocalyptic number.

420332240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420332240 is an abundant number, since it is smaller than the sum of its proper divisors (556940404).

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

420332240 is a wasteful number, since it uses less digits than its factorization.

420332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254166 (or 5254160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 420332240 is about 20502.0057555352. The cubic root of 420332240 is about 749.0846551648.

Adding to 420332240 its reverse (42233024), we get a palindrome (462565264).

The spelling of 420332240 in words is "four hundred twenty million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5254153 10508306 21016612 26270765 42033224 52541530 84066448 105083060 210166120 420332240