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5690496240 = 2435511132389
BaseRepresentation
bin1010100110010111…
…00001010011110000
3112200120200011100000
411103023201103300
543123231334430
62340355030000
7261005264022
oct52313412360
915616604300
105690496240
112460156060
12112989b300
136c8c21250
143bda84012
1523489ce60
hex1532e14f0

5690496240 has 960 divisors, whose sum is σ = 24568427520. Its totient is φ = 1204346880.

The previous prime is 5690496221. The next prime is 5690496281. The reversal of 5690496240 is 426940965.

5690496240 is a `hidden beast` number, since 56 + 90 + 496 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63938116 + ... + 63938204.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 25690496240 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 5690496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284213760).

5690496240 is an abundant number, since it is smaller than the sum of its proper divisors (18877931280).

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

5690496240 is a wasteful number, since it uses less digits than its factorization.

5690496240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5690496240 is about 75435.3779071862. The cubic root of 5690496240 is about 1785.3226448762.

The spelling of 5690496240 in words is "five billion, six hundred ninety million, four hundred ninety-six thousand, two hundred forty".