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2125680 = 243517521
BaseRepresentation
bin1000000110111101110000
310222222212220
420012331300
51021010210
6113321040
724032214
oct10067560
93888786
102125680
111222067
12866180
135956cb
143d4944
152bec70
hex206f70

2125680 has 80 divisors (see below), whose sum is σ = 6990624. Its totient is φ = 532480.

The previous prime is 2125679. The next prime is 2125681. The reversal of 2125680 is 865212.

It is an interprime number because it is at equal distance from previous prime (2125679) and next prime (2125681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2125680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3820 + ... + 4340.

22125680 is an apocalyptic number.

2125680 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 2125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495312).

2125680 is an abundant number, since it is smaller than the sum of its proper divisors (4864944).

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

2125680 is a wasteful number, since it uses less digits than its factorization.

2125680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2125680 is about 1457.9711931311. The cubic root of 2125680 is about 128.5777915722.

The spelling of 2125680 in words is "two million, one hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 521 680 816 1020 1042 1360 1563 2040 2084 2605 3126 4080 4168 5210 6252 7815 8336 8857 10420 12504 15630 17714 20840 25008 26571 31260 35428 41680 44285 53142 62520 70856 88570 106284 125040 132855 141712 177140 212568 265710 354280 425136 531420 708560 1062840 2125680