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420798080 = 275657497
BaseRepresentation
bin11001000101001…
…101111010000000
31002022210202110002
4121011031322000
51330211014310
6105431055132
713266503363
oct3105157200
91068722402
10420798080
111a659090a
12b8b114a8
1369244061
143dc5a0da
1526e20da5
hex1914de80

420798080 has 32 divisors (see below), whose sum is σ = 1005971940. Its totient is φ = 168318976.

The previous prime is 420798071. The next prime is 420798109. The reversal of 420798080 is 80897024.

It can be written as a sum of positive squares in 2 ways, for example, as 354342976 + 66455104 = 18824^2 + 8152^2 .

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

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, 328109 + ... + 329388.

Almost surely, 2420798080 is an apocalyptic number.

420798080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420798080 is an abundant number, since it is smaller than the sum of its proper divisors (585173860).

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

420798080 is an equidigital number, since it uses as much as digits as its factorization.

420798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657516 (or 657504 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 420798080 is about 20513.3634492250. The cubic root of 420798080 is about 749.3612813910.

The spelling of 420798080 in words is "four hundred twenty million, seven hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 657497 1314994 2629988 3287485 5259976 6574970 10519952 13149940 21039904 26299880 42079808 52599760 84159616 105199520 210399040 420798080