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10128852 = 2232281357
BaseRepresentation
bin100110101000…
…110111010100
3201001121011200
4212220313110
510043110402
61001032500
7152044116
oct46506724
921047150
1010128852
115798a58
123485730
132138406
1414b93b6
15d5121c
hex9a8dd4

10128852 has 18 divisors (see below), whose sum is σ = 25603578. Its totient is φ = 3376272.

The previous prime is 10128841. The next prime is 10128869. The reversal of 10128852 is 25882101.

10128852 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 only one way, i.e., 9511056 + 617796 = 3084^2 + 786^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×101288523 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140643 + ... + 140714.

It is an arithmetic number, because the mean of its divisors is an integer number (1422421).

Almost surely, 210128852 is an apocalyptic number.

10128852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10128852 is an abundant number, since it is smaller than the sum of its proper divisors (15474726).

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

10128852 is a wasteful number, since it uses less digits than its factorization.

10128852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281367 (or 281362 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 10128852 is about 3182.5857411859. The cubic root of 10128852 is about 216.3648668595.

The spelling of 10128852 in words is "ten million, one hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 281357 562714 844071 1125428 1688142 2532213 3376284 5064426 10128852