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5990591040 = 26357423113
BaseRepresentation
bin1011001010001000…
…10010101001000000
3120110111100120000020
411211010102221000
544232042403130
62430235053440
7301311120000
oct54504225100
916414316006
105990591040
1125a4594795
1211b22a1280
13746153235
1440b880000
15250dc9e10
hex165112a40

5990591040 has 560 divisors, whose sum is σ = 23358457728. Its totient is φ = 1298153472.

The previous prime is 5990591039. The next prime is 5990591077. The reversal of 5990591040 is 401950995.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5990590983 and 5990591001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53014024 + ... + 53014136.

Almost surely, 25990591040 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 5990591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11679228864).

5990591040 is an abundant number, since it is smaller than the sum of its proper divisors (17367866688).

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

5990591040 is a wasteful number, since it uses less digits than its factorization.

5990591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 5990591040 is about 77398.9085194359. The cubic root of 5990591040 is about 1816.1702506197.

The spelling of 5990591040 in words is "five billion, nine hundred ninety million, five hundred ninety-one thousand, forty".