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418836020 = 225149140549
BaseRepresentation
bin11000111101101…
…110111000110100
31002012010002000012
4120331232320310
51324210223040
6105321035352
713244022161
oct3075567064
91065102005
10418836020
111a5470779
12b8325b58
1368a07c85
143d8a9068
1526b84865
hex18f6ee34

418836020 has 24 divisors (see below), whose sum is σ = 885465000. Its totient is φ = 166408832.

The previous prime is 418835999. The next prime is 418836031. The reversal of 418836020 is 20638814.

It can be written as a sum of positive squares in 4 ways, for example, as 6421156 + 412414864 = 2534^2 + 20308^2 .

It is a super-2 number, since 2×4188360202 = 350847223298880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67295 + ... + 73254.

It is an arithmetic number, because the mean of its divisors is an integer number (36894375).

Almost surely, 2418836020 is an apocalyptic number.

It is an amenable number.

418836020 is an abundant number, since it is smaller than the sum of its proper divisors (466628980).

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

418836020 is a wasteful number, since it uses less digits than its factorization.

418836020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140707 (or 140705 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 418836020 is about 20465.4836248743. The cubic root of 418836020 is about 748.1947813633.

The spelling of 418836020 in words is "four hundred eighteen million, eight hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 140549 281098 562196 702745 1405490 2810980 20941801 41883602 83767204 104709005 209418010 418836020