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5687505720 = 233451331747
BaseRepresentation
bin1010100110000000…
…00111001100111000
3112200101001020010000
411103000013030320
543122000140340
62340210553000
7260641000221
oct52300071470
915611036100
105687505720
1124594a3256
121128898760
136c8415000
143bd506248
152344abd30
hex153007338

5687505720 has 640 divisors, whose sum is σ = 22393324800. Its totient is φ = 1289613312.

The previous prime is 5687505709. The next prime is 5687505731. The reversal of 5687505720 is 275057865.

5687505720 is a `hidden beast` number, since 5 + 6 + 8 + 75 + 0 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5687505709) and next prime (5687505731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 121010737 + ... + 121010783.

It is an arithmetic number, because the mean of its divisors is an integer number (34989570).

Almost surely, 25687505720 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 5687505720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196662400).

5687505720 is an abundant number, since it is smaller than the sum of its proper divisors (16705819080).

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

5687505720 is a wasteful number, since it uses less digits than its factorization.

5687505720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 5687505720 is about 75415.5535682130. The cubic root of 5687505720 is about 1785.0098438833.

It can be divided in two parts, 5687505 and 720, that added together give a square (5688225 = 23852).

The spelling of 5687505720 in words is "five billion, six hundred eighty-seven million, five hundred five thousand, seven hundred twenty".