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2072241360 = 24335732797
BaseRepresentation
bin111101110000011…
…1110010011010000
312100102021202202000
41323200332103100
513220443210420
6541343154000
7102231522000
oct17340762320
95312252660
102072241360
119737a9672
12499ba5900
1327041c127
14159302000
15c1dd2690
hex7b83e4d0

2072241360 has 320 divisors, whose sum is σ = 8326848000. Its totient is φ = 473485824.

The previous prime is 2072241359. The next prime is 2072241427. The reversal of 2072241360 is 631422702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739482 + ... + 742278.

It is an arithmetic number, because the mean of its divisors is an integer number (26021400).

Almost surely, 22072241360 is an apocalyptic number.

2072241360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163424000).

2072241360 is an abundant number, since it is smaller than the sum of its proper divisors (6254606640).

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

2072241360 is a wasteful number, since it uses less digits than its factorization.

2072241360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2072241360 is about 45521.8778171551. The cubic root of 2072241360 is about 1274.9117170707.

The spelling of 2072241360 in words is "two billion, seventy-two million, two hundred forty-one thousand, three hundred sixty".