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2098240 = 2657983
BaseRepresentation
bin1000000000010001000000
310221121020121
420000101000
51014120430
6112550024
723556214
oct10002100
93847217
102098240
111203491
12852314
13586081
143c8944
152b6a7a
hex200440

2098240 has 56 divisors (see below), whose sum is σ = 5120640. Its totient is φ = 818688.

The previous prime is 2098211. The next prime is 2098241. The reversal of 2098240 is 428902.

It is a super-2 number, since 2×20982402 = 8805222195200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2098241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25239 + ... + 25321.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

22098240 is an apocalyptic number.

2098240 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 2098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320).

2098240 is an abundant number, since it is smaller than the sum of its proper divisors (3022400).

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

2098240 is an equidigital number, since it uses as much as digits as its factorization.

2098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2098240 is about 1448.5302896384. The cubic root of 2098240 is about 128.0221315898.

The spelling of 2098240 in words is "two million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 83 158 160 166 316 320 332 395 415 632 664 790 830 1264 1328 1580 1660 2528 2656 3160 3320 5056 5312 6320 6557 6640 12640 13114 13280 25280 26228 26560 32785 52456 65570 104912 131140 209824 262280 419648 524560 1049120 2098240