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5920682040 = 2334571343467
BaseRepresentation
bin1011000001110011…
…00111000000111000
3120021121210210220000
411200321213000320
544111143311130
62415300433000
7266501652450
oct54071470070
916247723800
105920682040
112569086059
1211929a8760
13734816c70
14402482d60
15249bbb260
hex160e67038

5920682040 has 640 divisors, whose sum is σ = 25115650560. Its totient is φ = 1217534976.

The previous prime is 5920681999. The next prime is 5920682041. The reversal of 5920682040 is 402860295.

It is a happy number.

5920682040 is a `hidden beast` number, since 592 + 0 + 6 + 8 + 20 + 40 = 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 = 5920681986 and 5920682004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920682041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12677887 + ... + 12678353.

It is an arithmetic number, because the mean of its divisors is an integer number (39243204).

Almost surely, 25920682040 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 5920682040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557825280).

5920682040 is an abundant number, since it is smaller than the sum of its proper divisors (19194968520).

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

5920682040 is a wasteful number, since it uses less digits than its factorization.

5920682040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5920682040 is about 76945.9683154355. The cubic root of 5920682040 is about 1809.0778082586.

It can be divided in two parts, 59206 and 82040, that added together give a triangular number (141246 = T531).

The spelling of 5920682040 in words is "five billion, nine hundred twenty million, six hundred eighty-two thousand, forty".