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5724069120 = 28355711239
BaseRepresentation
bin1010101010010111…
…00101110100000000
3112202220211211200000
411111023211310000
543210330202440
62343554400000
7261563533110
oct52513456400
915686754600
105724069120
1124780a6940
121138b90000
13702b77563
143c4303040
152377d0730
hex1552e5d00

5724069120 has 864 divisors, whose sum is σ = 25713192960. Its totient is φ = 1184440320.

The previous prime is 5724069119. The next prime is 5724069149. The reversal of 5724069120 is 219604275.

5724069120 is a `hidden beast` number, since 572 + 4 + 0 + 69 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 23949961 + ... + 23950199.

It is an arithmetic number, because the mean of its divisors is an integer number (29760640).

Almost surely, 25724069120 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 5724069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856596480).

5724069120 is an abundant number, since it is smaller than the sum of its proper divisors (19989123840).

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

5724069120 is a wasteful number, since it uses less digits than its factorization.

5724069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5724069120 is about 75657.5780738453. The cubic root of 5724069120 is about 1788.8267875742.

The spelling of 5724069120 in words is "five billion, seven hundred twenty-four million, sixty-nine thousand, one hundred twenty".