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420135320 = 23511954853
BaseRepresentation
bin11001000010101…
…100000110011000
31002021120002022102
4121002230012120
51330023312240
6105404542532
713261043213
oct3102540630
91067502272
10420135320
111a6178980
12b8851a48
13690714a7
143db2677a
1526d3e815
hex190ac198

420135320 has 32 divisors (see below), whose sum is σ = 1031242320. Its totient is φ = 152776320.

The previous prime is 420135307. The next prime is 420135341. The reversal of 420135320 is 23531024.

It is a happy number.

It is a super-2 number, since 2×4201353202 = 353027374223004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420135292 and 420135301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 476987 + ... + 477866.

Almost surely, 2420135320 is an apocalyptic number.

420135320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420135320 is an abundant number, since it is smaller than the sum of its proper divisors (611107000).

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

420135320 is a wasteful number, since it uses less digits than its factorization.

420135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954875 (or 954871 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 420135320 is about 20497.2027359833. The cubic root of 420135320 is about 748.9676581977.

Adding to 420135320 its reverse (23531024), we get a palindrome (443666344).

The spelling of 420135320 in words is "four hundred twenty million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 954853 1909706 3819412 4774265 7638824 9548530 10503383 19097060 21006766 38194120 42013532 52516915 84027064 105033830 210067660 420135320