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2125872 = 243371937
BaseRepresentation
bin1000000111000000110000
311000000011000
420013000300
51021011442
6113322000
724032610
oct10070060
94000130
102125872
111222221
12866300
13595818
143d4a40
152bed4c
hex207030

2125872 has 160 divisors (see below), whose sum is σ = 7539200. Its totient is φ = 559872.

The previous prime is 2125847. The next prime is 2125873. The reversal of 2125872 is 2785212.

2125872 is nontrivially palindromic in base 11.

It is a super-3 number, since 3×21258723 = 28822562544333164544, which contains 333 as substring.

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

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

Its product of digits (2240) is a multiple of the sum of its prime factors (80).

It is a nialpdrome in base 12.

It is a zygodrome in base 3 and base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125873) 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, 57438 + ... + 57474.

It is an arithmetic number, because the mean of its divisors is an integer number (47120).

22125872 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 2125872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769600).

2125872 is an abundant number, since it is smaller than the sum of its proper divisors (5413328).

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

2125872 is a wasteful number, since it uses less digits than its factorization.

2125872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2125872 is about 1458.0370365666. The cubic root of 2125872 is about 128.5816626774.

It can be divided in two parts, 212 and 5872, that added together give a square (6084 = 782).

The spelling of 2125872 in words is "two million, one hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 37 38 42 48 54 56 57 63 72 74 76 84 108 111 112 114 126 133 144 148 152 168 171 189 216 222 228 252 259 266 296 304 333 336 342 378 399 432 444 456 504 513 518 532 592 666 684 703 756 777 798 888 912 999 1008 1026 1036 1064 1197 1332 1368 1406 1512 1554 1596 1776 1998 2052 2072 2109 2128 2331 2394 2664 2736 2812 3024 3108 3192 3591 3996 4104 4144 4218 4662 4788 4921 5328 5624 6216 6327 6384 6993 7182 7992 8208 8436 9324 9576 9842 11248 12432 12654 13986 14364 14763 15984 16872 18648 18981 19152 19684 25308 27972 28728 29526 33744 37296 37962 39368 44289 50616 55944 57456 59052 75924 78736 88578 101232 111888 118104 132867 151848 177156 236208 265734 303696 354312 531468 708624 1062936 2125872