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10328180 = 2251737821
BaseRepresentation
bin100111011001…
…100001110100
3201102201121012
4213121201310
510121000210
61005211352
7153534212
oct47314164
921381535
1010328180
115914795
123560b58
1321a8065
14152bcb2
15d90305
hex9d9874

10328180 has 48 divisors (see below), whose sum is σ = 23614416. Its totient is φ = 3778560.

The previous prime is 10328179. The next prime is 10328207. The reversal of 10328180 is 8182301.

10328180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 355216 + 9972964 = 596^2 + 3158^2 .

It is a super-2 number, since 2×103281802 = 213342604224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12170 + ... + 12990.

It is an arithmetic number, because the mean of its divisors is an integer number (491967).

Almost surely, 210328180 is an apocalyptic number.

10328180 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 10328180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807208).

10328180 is an abundant number, since it is smaller than the sum of its proper divisors (13286236).

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

10328180 is a wasteful number, since it uses less digits than its factorization.

10328180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 10328180 is about 3213.7485900425. The cubic root of 10328180 is about 217.7749550361.

The spelling of 10328180 in words is "ten million, three hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 821 1258 1642 2516 3145 3284 4105 6290 8210 12580 13957 16420 27914 30377 55828 60754 69785 121508 139570 151885 279140 303770 516409 607540 1032818 2065636 2582045 5164090 10328180