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5692040640 = 26335111317271
BaseRepresentation
bin1010100110100010…
…11010010111000000
3112200200120121212000
411103101122113000
543124130300030
62340452104000
7261024355446
oct52321322700
915620517760
105692040640
112461010420
12112a305000
136c93421b0
143bdd66b96
15234aa5860
hex15345a5c0

5692040640 has 896 divisors, whose sum is σ = 25070653440. Its totient is φ = 1194393600.

The previous prime is 5692040639. The next prime is 5692040659. The reversal of 5692040640 is 460402965.

5692040640 is a `hidden beast` number, since 5 + 6 + 9 + 2 + 0 + 4 + 0 + 640 = 666.

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 = 5692040595 and 5692040604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21003705 + ... + 21003975.

It is an arithmetic number, because the mean of its divisors is an integer number (27980640).

Almost surely, 25692040640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5692040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535326720).

5692040640 is an abundant number, since it is smaller than the sum of its proper divisors (19378612800).

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

5692040640 is a wasteful number, since it uses less digits than its factorization.

5692040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5692040640 is about 75445.6137890070. The cubic root of 5692040640 is about 1785.4841423845.

The spelling of 5692040640 in words is "five billion, six hundred ninety-two million, forty thousand, six hundred forty".