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4002240020 = 225593337457
BaseRepresentation
bin1110111010001101…
…0101011000010100
3101022220220212011212
43232203111120110
531144033140040
61501045520552
7201115323152
oct35643253024
911286825155
104002240020
111774184189
12938413158
134ba22717c
1429d7783d2
15186568d65
hexee8d5614

4002240020 has 24 divisors (see below), whose sum is σ = 8418902184. Its totient is φ = 1598191616.

The previous prime is 4002240019. The next prime is 4002240049. The reversal of 4002240020 is 200422004.

It is a happy number.

4002240020 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 4 ways, for example, as 757570576 + 3244669444 = 27524^2 + 56962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4002239977 and 4002240004.

It is a congruent 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, 156869 + ... + 180588.

It is an arithmetic number, because the mean of its divisors is an integer number (350787591).

Almost surely, 24002240020 is an apocalyptic number.

It is an amenable number.

4002240020 is an abundant number, since it is smaller than the sum of its proper divisors (4416662164).

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

4002240020 is a wasteful number, since it uses less digits than its factorization.

4002240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338059 (or 338057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4002240020 is about 63263.2596378024. The cubic root of 4002240020 is about 1587.6973141810.

Adding to 4002240020 its reverse (200422004), we get a palindrome (4202662024).

The spelling of 4002240020 in words is "four billion, two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 593 1186 2372 2965 5930 11860 337457 674914 1349828 1687285 3374570 6749140 200112001 400224002 800448004 1000560005 2001120010 4002240020