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2920049640 = 2332523734831
BaseRepresentation
bin1010111000001100…
…0110101111101000
321112111120220001200
42232003012233220
521440013042030
61201430444200
7132235004154
oct25603065750
97474526050
102920049640
111269323572
12695b03660
13376c70931
141d9b54064
1512154ed60
hexae0c6be8

2920049640 has 192 divisors, whose sum is σ = 10040509440. Its totient is φ = 734469120.

The previous prime is 2920049603. The next prime is 2920049669. The reversal of 2920049640 is 469400292.

2920049640 is a `hidden beast` number, since 2 + 9 + 2 + 0 + 0 + 4 + 9 + 640 = 666.

2920049640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2920049595 and 2920049604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602025 + ... + 606855.

It is an arithmetic number, because the mean of its divisors is an integer number (52294320).

Almost surely, 22920049640 is an apocalyptic number.

2920049640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2920049640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020254720).

2920049640 is an abundant number, since it is smaller than the sum of its proper divisors (7120459800).

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

2920049640 is a wasteful number, since it uses less digits than its factorization.

2920049640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2920049640 is about 54037.4836571800. The cubic root of 2920049640 is about 1429.3219991625.

The spelling of 2920049640 in words is "two billion, nine hundred twenty million, forty-nine thousand, six hundred forty".