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2920020480 = 29325139749
BaseRepresentation
bin1010111000001011…
…1111101000000000
321112111112102001200
42232002333220000
521440011123410
61201430101200
7132234523146
oct25602775000
97474472050
102920020480
111269303673
12695aaa800
13376c60590
141d9b47596
151215463c0
hexae0bfa00

2920020480 has 240 divisors, whose sum is σ = 10891881000. Its totient is φ = 718700544.

The previous prime is 2920020473. The next prime is 2920020503. The reversal of 2920020480 is 840200292.

It can be written as a sum of positive squares in 4 ways, for example, as 1251461376 + 1668559104 = 35376^2 + 40848^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294646 + ... + 304394.

Almost surely, 22920020480 is an apocalyptic number.

2920020480 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 2920020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445940500).

2920020480 is an abundant number, since it is smaller than the sum of its proper divisors (7971860520).

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

2920020480 is a wasteful number, since it uses less digits than its factorization.

2920020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791 (or 9772 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2920020480 is about 54037.2138437947. The cubic root of 2920020480 is about 1429.3172413475.

The spelling of 2920020480 in words is "two billion, nine hundred twenty million, twenty thousand, four hundred eighty".