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2098512 = 2432131959
BaseRepresentation
bin1000000000010101010000
310221121121200
420000111100
51014123022
6112551200
723560053
oct10002520
93847550
102098512
111203709
12852500
13586230
143c8a9a
152b6bac
hex200550

2098512 has 120 divisors (see below), whose sum is σ = 6770400. Its totient is φ = 601344.

The previous prime is 2098511. The next prime is 2098519. The reversal of 2098512 is 2158902.

It is a super-2 number, since 2×20985122 = 8807505228288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35539 + ... + 35597.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

22098512 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 2098512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200).

2098512 is an abundant number, since it is smaller than the sum of its proper divisors (4671888).

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

2098512 is a wasteful number, since it uses less digits than its factorization.

2098512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2098512 is about 1448.6241748639. The cubic root of 2098512 is about 128.0276632918.

The spelling of 2098512 in words is "two million, ninety-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 59 72 76 78 104 114 117 118 144 152 156 171 177 208 228 234 236 247 304 312 342 354 456 468 472 494 531 624 684 708 741 767 912 936 944 988 1062 1121 1368 1416 1482 1534 1872 1976 2124 2223 2242 2301 2736 2832 2964 3068 3363 3952 4248 4446 4484 4602 5928 6136 6726 6903 8496 8892 8968 9204 10089 11856 12272 13452 13806 14573 17784 17936 18408 20178 26904 27612 29146 35568 36816 40356 43719 53808 55224 58292 80712 87438 110448 116584 131157 161424 174876 233168 262314 349752 524628 699504 1049256 2098512