Search a number
-
+
10708189000 = 2353103103963
BaseRepresentation
bin10011111100100000…
…11111111101001000
31000122021100100210121
421332100133331020
5133412244022000
64530321353024
7526234050625
oct117620377510
930567310717
1010708189000
1145a5547983
1220aa198774
131018636012
1473822d34c
1542a14bb1a
hex27e41ff48

10708189000 has 64 divisors (see below), whose sum is σ = 25300679040. Its totient is φ = 4241649600.

The previous prime is 10708188991. The next prime is 10708189001. The reversal of 10708189000 is 98180701.

It is a super-2 number, since 2×107081890002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10708189001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51019 + ... + 154981.

It is an arithmetic number, because the mean of its divisors is an integer number (395323110).

Almost surely, 210708189000 is an apocalyptic number.

10708189000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10708189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650339520).

10708189000 is an abundant number, since it is smaller than the sum of its proper divisors (14592490040).

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

10708189000 is a wasteful number, since it uses less digits than its factorization.

10708189000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104087 (or 104073 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The spelling of 10708189000 in words is "ten billion, seven hundred eight million, one hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 2060 2575 4120 5150 10300 12875 20600 25750 51500 103000 103963 207926 415852 519815 831704 1039630 2079260 2599075 4158520 5198150 10396300 10708189 12995375 20792600 21416378 25990750 42832756 51981500 53540945 85665512 103963000 107081890 214163780 267704725 428327560 535409450 1070818900 1338523625 2141637800 2677047250 5354094500 10708189000