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10328112 = 2432174219
BaseRepresentation
bin100111011001…
…100000110000
3201102201111200
4213121200300
510120444422
61005211200
7153534054
oct47314060
921381450
1010328112
115914733
123560b00
1321a8012
14152bc64
15d902ac
hex9d9830

10328112 has 60 divisors (see below), whose sum is σ = 30611880. Its totient is φ = 3239424.

The previous prime is 10328111. The next prime is 10328137. The reversal of 10328112 is 21182301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10328111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (510198).

Almost surely, 210328112 is an apocalyptic number.

10328112 is a gapful number since it is divisible by the number (12) 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 10328112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305940).

10328112 is an abundant number, since it is smaller than the sum of its proper divisors (20283768).

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

10328112 is a wasteful number, since it uses less digits than its factorization.

10328112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10328112 is about 3213.7380104794. The cubic root of 10328112 is about 217.7744770968.

It can be divided in two parts, 10328 and 112, that added together give a triangular number (10440 = T144).

The spelling of 10328112 in words is "ten million, three hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4219 8438 12657 16876 25314 33752 37971 50628 67504 71723 75942 101256 143446 151884 202512 215169 286892 303768 430338 573784 607536 645507 860676 1147568 1291014 1721352 2582028 3442704 5164056 10328112