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2128832 = 26293137
BaseRepresentation
bin1000000111101111000000
311000011012122
420013233000
51021110312
6113343412
724044336
oct10075700
94004178
102128832
111224472
12867b68
13596c84
143d5b56
152c0b72
hex207bc0

2128832 has 56 divisors (see below), whose sum is σ = 4632960. Its totient is φ = 967680.

The previous prime is 2128831. The next prime is 2128837. The reversal of 2128832 is 2388212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57518 + ... + 57554.

22128832 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 2128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316480).

2128832 is an abundant number, since it is smaller than the sum of its proper divisors (2504128).

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

2128832 is a wasteful number, since it uses less digits than its factorization.

2128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 2128832 is about 1459.0517468548. The cubic root of 2128832 is about 128.6413127429.

The spelling of 2128832 in words is "two million, one hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 29 31 32 37 58 62 64 74 116 124 148 232 248 296 464 496 592 899 928 992 1073 1147 1184 1798 1856 1984 2146 2294 2368 3596 4292 4588 7192 8584 9176 14384 17168 18352 28768 33263 34336 36704 57536 66526 68672 73408 133052 266104 532208 1064416 2128832