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5230517760 = 29335135821
BaseRepresentation
bin1001101111100001…
…10101111000000000
3111111112010211111000
410313300311320000
541203003032020
62223004052000
7243421444626
oct46760657000
914445124430
105230517760
112244544456
12101b834000
1365483c730
14378949516
152092dd090
hex137c35e00

5230517760 has 320 divisors, whose sum is σ = 20011844160. Its totient is φ = 1287290880.

The previous prime is 5230517707. The next prime is 5230517777. The reversal of 5230517760 is 677150325.

5230517760 is a `hidden beast` number, since 52 + 30 + 517 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895650 + ... + 901470.

It is an arithmetic number, because the mean of its divisors is an integer number (62537013).

Almost surely, 25230517760 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 5230517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005922080).

5230517760 is an abundant number, since it is smaller than the sum of its proper divisors (14781326400).

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

5230517760 is a wasteful number, since it uses less digits than its factorization.

5230517760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5230517760 is about 72322.3185469050. The cubic root of 5230517760 is about 1735.8607914309.

The spelling of 5230517760 in words is "five billion, two hundred thirty million, five hundred seventeen thousand, seven hundred sixty".