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68087130 = 23523101977
BaseRepresentation
bin1000000111011…
…10110101011010
311202010011222120
410003232311122
5114412242010
610431202110
71454505516
oct403566532
9152104876
1068087130
1135484961
121a976336
131114bc57
149085146
155e9de70
hex40eed5a

68087130 has 64 divisors (see below), whose sum is σ = 172378368. Its totient is φ = 17177600.

The previous prime is 68087111. The next prime is 68087137. The reversal of 68087130 is 3178086.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 68087091 and 68087100.

It is not an unprimeable number, because it can be changed into a prime (68087137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69202 + ... + 70178.

It is an arithmetic number, because the mean of its divisors is an integer number (2693412).

Almost surely, 268087130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68087130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86189184).

68087130 is an abundant number, since it is smaller than the sum of its proper divisors (104291238).

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

68087130 is a wasteful number, since it uses less digits than its factorization.

68087130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 68087130 is about 8251.4925922526. The cubic root of 68087130 is about 408.3397664774.

The spelling of 68087130 in words is "sixty-eight million, eighty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 138 202 230 303 345 505 606 690 977 1010 1515 1954 2323 2931 3030 4646 4885 5862 6969 9770 11615 13938 14655 22471 23230 29310 34845 44942 67413 69690 98677 112355 134826 197354 224710 296031 337065 493385 592062 674130 986770 1480155 2269571 2960310 4539142 6808713 11347855 13617426 22695710 34043565 68087130