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5872401360 = 2432571676977
BaseRepresentation
bin1010111100000010…
…11011101111010000
3120011020221220020200
411132001123233100
544011313320420
62410413535200
7265344405450
oct53601335720
916136856220
105872401360
1125438aa071
12117a7a4500
13727811307
143d9cb5d60
15245830b90
hex15e05bbd0

5872401360 has 240 divisors, whose sum is σ = 22677048576. Its totient is φ = 1334034432.

The previous prime is 5872401349. The next prime is 5872401361. The reversal of 5872401360 is 631042785.

5872401360 is a `hidden beast` number, since 58 + 7 + 240 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5872401361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838192 + ... + 845168.

Almost surely, 25872401360 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 5872401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338524288).

5872401360 is an abundant number, since it is smaller than the sum of its proper divisors (16804647216).

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

5872401360 is a wasteful number, since it uses less digits than its factorization.

5872401360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5872401360 is about 76631.5950506056. The cubic root of 5872401360 is about 1804.1469571517.

The spelling of 5872401360 in words is "five billion, eight hundred seventy-two million, four hundred one thousand, three hundred sixty".