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2920143744 = 27337196353
BaseRepresentation
bin1010111000001101…
…1101101110000000
321112111202200011000
42232003131232000
521440024044434
61201432452000
7132235545420
oct25603355600
97474680130
102920143744
111269388241
12695b4a000
13376ca470b
141d9b7a480
1512156cb99
hexae0ddb80

2920143744 has 256 divisors, whose sum is σ = 10369728000. Its totient is φ = 790290432.

The previous prime is 2920143731. The next prime is 2920143767. The reversal of 2920143744 is 4473410292.

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 = 2920143699 and 2920143708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456472 + ... + 462824.

It is an arithmetic number, because the mean of its divisors is an integer number (40506750).

Almost surely, 22920143744 is an apocalyptic number.

2920143744 is a gapful number since it is divisible by the number (24) 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 2920143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184864000).

2920143744 is an abundant number, since it is smaller than the sum of its proper divisors (7449584256).

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

2920143744 is a wasteful number, since it uses less digits than its factorization.

2920143744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2920143744 is about 54038.3543790889. The cubic root of 2920143744 is about 1429.3373531792.

The spelling of 2920143744 in words is "two billion, nine hundred twenty million, one hundred forty-three thousand, seven hundred forty-four".