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5683875120 = 24325711102523
BaseRepresentation
bin1010100101100100…
…10000110100110000
3112200010012202212100
411102302100310300
543120033000440
62340001100400
7260565066330
oct52262206460
915603182770
105683875120
112457443560
121127627700
136c7743621
143bcc3d0c0
15233ee1230
hex152c90d30

5683875120 has 240 divisors, whose sum is σ = 23798691072. Its totient is φ = 1181053440.

The previous prime is 5683875077. The next prime is 5683875121. The reversal of 5683875120 is 215783865.

5683875120 is a `hidden beast` number, since 56 + 8 + 3 + 87 + 512 + 0 = 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 (45).

It is not an unprimeable number, because it can be changed into a prime (5683875121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4179 + ... + 106701.

Almost surely, 25683875120 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 5683875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899345536).

5683875120 is an abundant number, since it is smaller than the sum of its proper divisors (18114815952).

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

5683875120 is a wasteful number, since it uses less digits than its factorization.

5683875120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102560 (or 102551 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5683875120 is about 75391.4790941257. The cubic root of 5683875120 is about 1784.6299447080.

The spelling of 5683875120 in words is "five billion, six hundred eighty-three million, eight hundred seventy-five thousand, one hundred twenty".