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5913840240 = 2433571131237
BaseRepresentation
bin1011000000111111…
…00000101001110000
3120021010221012201000
411200133200221300
544102420341430
62414454042000
7266356545510
oct54037405160
916233835630
105913840240
112565232780
121190649300
1373328ca69
144015c1840
152492b8e60
hex1607e0a70

5913840240 has 960 divisors, whose sum is σ = 26951132160. Its totient is φ = 1157068800.

The previous prime is 5913840211. The next prime is 5913840241. The reversal of 5913840240 is 420483195.

5913840240 is a `hidden beast` number, since 591 + 3 + 8 + 40 + 24 + 0 = 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 = 5913840195 and 5913840204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5913840241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159833502 + ... + 159833538.

It is an arithmetic number, because the mean of its divisors is an integer number (28074096).

Almost surely, 25913840240 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 5913840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475566080).

5913840240 is an abundant number, since it is smaller than the sum of its proper divisors (21037291920).

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

5913840240 is a wasteful number, since it uses less digits than its factorization.

5913840240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

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

The square root of 5913840240 is about 76901.4969945319. The cubic root of 5913840240 is about 1808.3806971721.

The spelling of 5913840240 in words is "five billion, nine hundred thirteen million, eight hundred forty thousand, two hundred forty".