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420130432 = 2719172751
BaseRepresentation
bin11001000010101…
…010111010000000
31002021112211121101
4121002222322000
51330023133212
6105404504144
713261023031
oct3102527200
91067484541
10420130432
111a6175237
12b884b054
136906c1b7
143db24a88
1526d3d157
hex190aae80

420130432 has 32 divisors (see below), whose sum is σ = 881035200. Its totient is φ = 199008000.

The previous prime is 420130427. The next prime is 420130441. The reversal of 420130432 is 234031024.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 83944 + ... + 88807.

It is an arithmetic number, because the mean of its divisors is an integer number (27532350).

Almost surely, 2420130432 is an apocalyptic number.

It is an amenable number.

420130432 is an abundant number, since it is smaller than the sum of its proper divisors (460904768).

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

420130432 is a wasteful number, since it uses less digits than its factorization.

420130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172784 (or 172772 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 420130432 is about 20497.0834998543. The cubic root of 420130432 is about 748.9647536033.

Adding to 420130432 its reverse (234031024), we get a palindrome (654161456).

The spelling of 420130432 in words is "four hundred twenty million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 172751 345502 691004 1382008 2764016 3282269 5528032 6564538 11056064 13129076 22112128 26258152 52516304 105032608 210065216 420130432