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420525120 = 2635438047
BaseRepresentation
bin11001000100001…
…011010001000000
31002022021220000110
4121010023101000
51330123300440
6105421151320
713264255521
oct3104132100
91068256013
10420525120
111a6414824
12b89bb540
1369179a42
143dbc8848
1526dba080
hex1910b440

420525120 has 56 divisors (see below), whose sum is σ = 1335170304. Its totient is φ = 112139776.

The previous prime is 420525103. The next prime is 420525139. The reversal of 420525120 is 21525024.

It is a happy number.

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, 218064 + ... + 219983.

Almost surely, 2420525120 is an apocalyptic number.

420525120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420525120 is an abundant number, since it is smaller than the sum of its proper divisors (914645184).

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

420525120 is a wasteful number, since it uses less digits than its factorization.

420525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438067 (or 438057 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 420525120 is about 20506.7091460332. The cubic root of 420525120 is about 749.1992164096.

The spelling of 420525120 in words is "four hundred twenty million, five hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 438047 876094 1314141 1752188 2190235 2628282 3504376 4380470 5256564 6570705 7008752 8760940 10513128 13141410 14017504 17521880 21026256 26282820 28035008 35043760 42052512 52565640 70087520 84105024 105131280 140175040 210262560 420525120