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420132040 = 23537283873
BaseRepresentation
bin11001000010101…
…011010011001000
31002021112220210221
4121002223103020
51330023211130
6105404515424
713261030516
oct3102532310
91067486727
10420132040
111a6176469
12b884bb74
136906cb53
143db254b6
1526d3d87a
hex190ab4c8

420132040 has 32 divisors (see below), whose sum is σ = 970849080. Its totient is φ = 163510272.

The previous prime is 420131977. The next prime is 420132061. The reversal of 420132040 is 40231024.

It can be written as a sum of positive squares in 4 ways, for example, as 401521444 + 18610596 = 20038^2 + 4314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140457 + ... + 143416.

Almost surely, 2420132040 is an apocalyptic number.

420132040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420132040 is an abundant number, since it is smaller than the sum of its proper divisors (550717040).

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

420132040 is a wasteful number, since it uses less digits than its factorization.

420132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283921 (or 283917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 420132040 is about 20497.1227249095. The cubic root of 420132040 is about 748.9657091270.

Adding to 420132040 its reverse (40231024), we get a palindrome (460363064).

The spelling of 420132040 in words is "four hundred twenty million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 283873 567746 1135492 1419365 2270984 2838730 5677460 10503301 11354920 21006602 42013204 52516505 84026408 105033010 210066020 420132040