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246040020 = 223251366889
BaseRepresentation
bin11101010101001…
…00010111010100
3122010222010110100
432222210113110
51000441240040
640225254100
76045206562
oct1652442724
9563863410
10246040020
11116979566
126a494330
133bc87115
1424968a32
1516900b30
hexeaa45d4

246040020 has 36 divisors (see below), whose sum is σ = 746321940. Its totient is φ = 65610624.

The previous prime is 246040019. The next prime is 246040027. The reversal of 246040020 is 20040642.

246040020 is a `hidden beast` number, since 246 + 0 + 400 + 20 = 666.

246040020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 218034756 = 5292^2 + 14766^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 246039975 and 246040002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246040027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 683265 + ... + 683624.

It is an arithmetic number, because the mean of its divisors is an integer number (20731165).

Almost surely, 2246040020 is an apocalyptic number.

246040020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

246040020 is an abundant number, since it is smaller than the sum of its proper divisors (500281920).

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

246040020 is a wasteful number, since it uses less digits than its factorization.

246040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366904 (or 1366899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 246040020 is about 15685.6628804778. The cubic root of 246040020 is about 626.6166318635.

Adding to 246040020 its reverse (20040642), we get a palindrome (266080662).

The spelling of 246040020 in words is "two hundred forty-six million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1366889 2733778 4100667 5467556 6834445 8201334 12302001 13668890 16402668 20503335 24604002 27337780 41006670 49208004 61510005 82013340 123020010 246040020