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2104872 = 2337111767
BaseRepresentation
bin1000000001111000101000
310221221100020
420001320220
51014323442
6113040440
723614440
oct10017050
93857306
102104872
111208470
12856120
135890b3
143cb120
152b89ec
hex201e28

2104872 has 128 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 506880.

The previous prime is 2104871. The next prime is 2104901. The reversal of 2104872 is 2784012.

It is a super-2 number, since 2×21048722 = 8860972272768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2104871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31383 + ... + 31449.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

22104872 is an apocalyptic number.

2104872 is a gapful number since it is divisible by the number (22) 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 2104872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2104872 is an abundant number, since it is smaller than the sum of its proper divisors (4945368).

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

2104872 is a wasteful number, since it uses less digits than its factorization.

2104872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2104872 is about 1450.8177004710. The cubic root of 2104872 is about 128.1568714684.

Adding to 2104872 its reverse (2784012), we get a palindrome (4888884).

The spelling of 2104872 in words is "two million, one hundred four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 67 68 77 84 88 102 119 132 134 136 154 168 187 201 204 231 238 264 268 308 357 374 402 408 462 469 476 536 561 616 714 737 748 804 924 938 952 1122 1139 1309 1407 1428 1474 1496 1608 1848 1876 2211 2244 2278 2618 2814 2856 2948 3417 3752 3927 4422 4488 4556 5159 5236 5628 5896 6834 7854 7973 8844 9112 10318 10472 11256 12529 13668 15477 15708 15946 17688 20636 23919 25058 27336 30954 31416 31892 37587 41272 47838 50116 61908 63784 75174 87703 95676 100232 123816 150348 175406 191352 263109 300696 350812 526218 701624 1052436 2104872