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2111328 = 25327331
BaseRepresentation
bin1000000011011101100000
310222021012100
420003131200
51020030303
6113130400
723642322
oct10033540
93867170
102111328
1112122aa
12859a00
1358c00b
143cd612
152ba8a3
hex203760

2111328 has 36 divisors (see below), whose sum is σ = 6004908. Its totient is φ = 703680.

The previous prime is 2111321. The next prime is 2111353. The reversal of 2111328 is 8231112.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2111328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3378 + ... + 3953.

It is an arithmetic number, because the mean of its divisors is an integer number (166803).

22111328 is an apocalyptic number.

It is an amenable number.

2111328 is an abundant number, since it is smaller than the sum of its proper divisors (3893580).

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

2111328 is a wasteful number, since it uses less digits than its factorization.

2111328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7336 counting only the distinct ones).

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

The square root of 2111328 is about 1453.0409491821. The cubic root of 2111328 is about 128.2877640349.

The spelling of 2111328 in words is "two million, one hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7331 14662 21993 29324 43986 58648 65979 87972 117296 131958 175944 234592 263916 351888 527832 703776 1055664 2111328