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420507760 = 2455256347
BaseRepresentation
bin11001000100000…
…111000001110000
31002022021000012111
4121010013001300
51330122222020
6105420535104
713264154101
oct3104070160
91068230174
10420507760
111a6402782
12b89b1494
1369171b7a
143dbc23a8
1526db4d5a
hex19107070

420507760 has 20 divisors (see below), whose sum is σ = 977680728. Its totient is φ = 168203072.

The previous prime is 420507751. The next prime is 420507803. The reversal of 420507760 is 67705024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2628094 + ... + 2628253.

Almost surely, 2420507760 is an apocalyptic number.

420507760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420507760 is an abundant number, since it is smaller than the sum of its proper divisors (557172968).

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

420507760 is a wasteful number, since it uses less digits than its factorization.

420507760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256360 (or 5256354 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 420507760 is about 20506.2858655584. The cubic root of 420507760 is about 749.1889068571.

The spelling of 420507760 in words is "four hundred twenty million, five hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5256347 10512694 21025388 26281735 42050776 52563470 84101552 105126940 210253880 420507760