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5990140640 = 2551119271661
BaseRepresentation
bin1011001010000101…
…00100101011100000
3120110110111200011202
411211002210223200
544231434000030
62430221300332
7301304232611
oct54502445340
916413450152
105990140640
1125a4307360
1211b21046a8
13746026223
1440b7a3c08
15250d3b745
hex1650a4ae0

5990140640 has 192 divisors, whose sum is σ = 16335406080. Its totient is φ = 2052864000.

The previous prime is 5990140579. The next prime is 5990140657. The reversal of 5990140640 is 460410995.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 5990140594 and 5990140603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9061910 + ... + 9062570.

It is an arithmetic number, because the mean of its divisors is an integer number (85080240).

Almost surely, 25990140640 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 5990140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167703040).

5990140640 is an abundant number, since it is smaller than the sum of its proper divisors (10345265440).

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

5990140640 is a wasteful number, since it uses less digits than its factorization.

5990140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 5990140640 is about 77395.9988629903. The cubic root of 5990140640 is about 1816.1247334870.

The spelling of 5990140640 in words is "five billion, nine hundred ninety million, one hundred forty thousand, six hundred forty".