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2098140 = 2235112172
BaseRepresentation
bin1000000000001111011100
310221121002220
420000033130
51014120030
6112545340
723556012
oct10001734
93847086
102098140
111203400
12852250
13586005
143c88b2
152b6a10
hex2003dc

2098140 has 108 divisors (see below), whose sum is σ = 6859608. Its totient is φ = 478720.

The previous prime is 2098133. The next prime is 2098153. The reversal of 2098140 is 418902.

It is a d-powerful number, because it can be written as 2 + 0 + 93 + 87 + 1 + 44 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2098140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123412 + ... + 123428.

22098140 is an apocalyptic number.

2098140 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 2098140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429804).

2098140 is an abundant number, since it is smaller than the sum of its proper divisors (4761468).

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

2098140 is a wasteful number, since it uses less digits than its factorization.

2098140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2098140 is about 1448.4957714816. The cubic root of 2098140 is about 128.0200977557.

The spelling of 2098140 in words is "two million, ninety-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 289 330 340 363 374 484 510 561 578 605 660 726 748 867 935 1020 1122 1156 1210 1445 1452 1734 1815 1870 2057 2244 2420 2805 2890 3179 3468 3630 3740 4114 4335 5610 5780 6171 6358 7260 8228 8670 9537 10285 11220 12342 12716 15895 17340 19074 20570 24684 30855 31790 34969 38148 41140 47685 61710 63580 69938 95370 104907 123420 139876 174845 190740 209814 349690 419628 524535 699380 1049070 2098140