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2128392 = 2332741103
BaseRepresentation
bin1000000111101000001000
311000010121100
420013220020
51021102032
6113341400
724043140
oct10075010
94003540
102128392
111224102
12867860
13596a06
143d5920
152c097c
hex207a08

2128392 has 96 divisors (see below), whose sum is σ = 6814080. Its totient is φ = 587520.

The previous prime is 2128391. The next prime is 2128403. The reversal of 2128392 is 2938212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2128391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20613 + ... + 20715.

It is an arithmetic number, because the mean of its divisors is an integer number (70980).

22128392 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 2128392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407040).

2128392 is an abundant number, since it is smaller than the sum of its proper divisors (4685688).

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

2128392 is a wasteful number, since it uses less digits than its factorization.

2128392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2128392 is about 1458.9009561996. The cubic root of 2128392 is about 128.6324493415.

The spelling of 2128392 in words is "two million, one hundred twenty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 103 123 126 164 168 206 246 252 287 309 328 369 412 492 504 574 618 721 738 824 861 927 984 1148 1236 1442 1476 1722 1854 2163 2296 2472 2583 2884 2952 3444 3708 4223 4326 5166 5768 6489 6888 7416 8446 8652 10332 12669 12978 16892 17304 20664 25338 25956 29561 33784 38007 50676 51912 59122 76014 88683 101352 118244 152028 177366 236488 266049 304056 354732 532098 709464 1064196 2128392