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2125980 = 2233531127
BaseRepresentation
bin1000000111000010011100
311000000022000
420013002130
51021012410
6113322300
724033123
oct10070234
94000260
102125980
11122230a
12866390
1359589c
143d4aba
152bedc0
hex20709c

2125980 has 96 divisors (see below), whose sum is σ = 6881280. Its totient is φ = 544320.

The previous prime is 2125939. The next prime is 2125987. The reversal of 2125980 is 895212.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (2125987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16677 + ... + 16803.

It is an arithmetic number, because the mean of its divisors is an integer number (71680).

22125980 is an apocalyptic number.

2125980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440640).

2125980 is an abundant number, since it is smaller than the sum of its proper divisors (4755300).

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

2125980 is a wasteful number, since it uses less digits than its factorization.

2125980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2125980 is about 1458.0740721925. The cubic root of 2125980 is about 128.5838400717.

The spelling of 2125980 in words is "two million, one hundred twenty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 127 135 155 180 186 254 270 279 310 372 381 465 508 540 558 620 635 762 837 930 1116 1143 1270 1395 1524 1674 1860 1905 2286 2540 2790 3348 3429 3810 3937 4185 4572 5580 5715 6858 7620 7874 8370 11430 11811 13716 15748 16740 17145 19685 22860 23622 34290 35433 39370 47244 59055 68580 70866 78740 106299 118110 141732 177165 212598 236220 354330 425196 531495 708660 1062990 2125980