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2152728 = 2332291031
BaseRepresentation
bin1000001101100100011000
311001100222200
420031210120
51022341403
6114050200
724204114
oct10154430
94040880
102152728
111240416
12879960
135a4b06
14400744
152c7ca3
hex20d918

2152728 has 48 divisors (see below), whose sum is σ = 6037200. Its totient is φ = 692160.

The previous prime is 2152691. The next prime is 2152729. The reversal of 2152728 is 8272512.

2152728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152729) 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, 1573 + ... + 2603.

It is an arithmetic number, because the mean of its divisors is an integer number (125775).

22152728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018600).

2152728 is an abundant number, since it is smaller than the sum of its proper divisors (3884472).

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

2152728 is a wasteful number, since it uses less digits than its factorization.

2152728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1065 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2152728 is about 1467.2177752467. The cubic root of 2152728 is about 129.1208530321.

The spelling of 2152728 in words is "two million, one hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1031 1044 2062 2088 3093 4124 6186 8248 9279 12372 18558 24744 29899 37116 59798 74232 89697 119596 179394 239192 269091 358788 538182 717576 1076364 2152728