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2125760 = 26571373
BaseRepresentation
bin1000000110111111000000
310222222222212
420012333000
51021011020
6113321252
724032360
oct10067700
93888885
102125760
11122212a
12866228
13595760
143d49a0
152becc5
hex206fc0

2125760 has 112 divisors (see below), whose sum is σ = 6315456. Its totient is φ = 663552.

The previous prime is 2125757. The next prime is 2125771. The reversal of 2125760 is 675212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29084 + ... + 29156.

It is an arithmetic number, because the mean of its divisors is an integer number (56388).

22125760 is an apocalyptic number.

2125760 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 2125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157728).

2125760 is an abundant number, since it is smaller than the sum of its proper divisors (4189696).

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

2125760 is a wasteful number, since it uses less digits than its factorization.

2125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2125760 is about 1457.9986282572. The cubic root of 2125760 is about 128.5794045610.

The spelling of 2125760 in words is "two million, one hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 73 80 91 104 112 130 140 146 160 182 208 224 260 280 292 320 364 365 416 448 455 511 520 560 584 728 730 832 910 949 1022 1040 1120 1168 1456 1460 1820 1898 2044 2080 2240 2336 2555 2912 2920 3640 3796 4088 4160 4672 4745 5110 5824 5840 6643 7280 7592 8176 9490 10220 11680 13286 14560 15184 16352 18980 20440 23360 26572 29120 30368 32704 33215 37960 40880 53144 60736 66430 75920 81760 106288 132860 151840 163520 212576 265720 303680 425152 531440 1062880 2125760