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2128824 = 233229567
BaseRepresentation
bin1000000111101110111000
311000011012100
420013232320
51021110244
6113343400
724044325
oct10075670
94004170
102128824
111224465
12867b60
13596c79
143d5b4c
152c0b69
hex207bb8

2128824 has 24 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 709584.

The previous prime is 2128823. The next prime is 2128831. The reversal of 2128824 is 4288212.

2128824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14712 + ... + 14855.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

22128824 is an apocalyptic number.

2128824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2128824 is an abundant number, since it is smaller than the sum of its proper divisors (3636936).

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

2128824 is a wasteful number, since it uses less digits than its factorization.

2128824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579 (or 29572 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2128824 is about 1459.0490053456. The cubic root of 2128824 is about 128.6411516010.

It can be divided in two parts, 21288 and 24, that added together give a palindrome (21312).

The spelling of 2128824 in words is "two million, one hundred twenty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29567 59134 88701 118268 177402 236536 266103 354804 532206 709608 1064412 2128824