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2125816 = 2372111729
BaseRepresentation
bin1000000110111111111000
311000000001221
420012333320
51021011231
6113321424
724032500
oct10067770
94000057
102125816
111222180
12866274
135957a4
143d4a00
152bed11
hex206ff8

2125816 has 96 divisors (see below), whose sum is σ = 5540400. Its totient is φ = 752640.

The previous prime is 2125813. The next prime is 2125819. The reversal of 2125816 is 6185212.

It is an interprime number because it is at equal distance from previous prime (2125813) and next prime (2125819).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73290 + ... + 73318.

22125816 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 2125816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770200).

2125816 is an abundant number, since it is smaller than the sum of its proper divisors (3414584).

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

2125816 is a wasteful number, since it uses less digits than its factorization.

2125816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 2125816 is about 1458.0178325384. The cubic root of 2125816 is about 128.5805336291.

The spelling of 2125816 in words is "two million, one hundred twenty-five thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 17 22 28 29 34 44 49 56 58 68 77 88 98 116 119 136 154 187 196 203 232 238 308 319 374 392 406 476 493 539 616 638 748 812 833 952 986 1078 1276 1309 1421 1496 1624 1666 1972 2156 2233 2552 2618 2842 3332 3451 3944 4312 4466 5236 5423 5684 6664 6902 8932 9163 10472 10846 11368 13804 15631 17864 18326 21692 24157 27608 31262 36652 37961 43384 48314 62524 73304 75922 96628 125048 151844 193256 265727 303688 531454 1062908 2125816