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2098900 = 2252139151
BaseRepresentation
bin1000000000011011010100
310221122011001
420000123110
51014131100
6112553044
723561146
oct10003324
93848131
102098900
111203a31
12852784
1358646b
143c8c96
152b6d6a
hex2006d4

2098900 has 36 divisors (see below), whose sum is σ = 4617760. Its totient is φ = 828000.

The previous prime is 2098897. The next prime is 2098903. The reversal of 2098900 is 98902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2098897) and next prime (2098903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098903) 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 11 ways as a sum of consecutive naturals, for example, 13825 + ... + 13975.

22098900 is an apocalyptic number.

2098900 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 2098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308880).

2098900 is an abundant number, since it is smaller than the sum of its proper divisors (2518860).

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

2098900 is a wasteful number, since it uses less digits than its factorization.

2098900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 2098900 is about 1448.7580888471. The cubic root of 2098900 is about 128.0355532749.

The spelling of 2098900 in words is "two million, ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 151 278 302 556 604 695 755 1390 1510 2780 3020 3475 3775 6950 7550 13900 15100 20989 41978 83956 104945 209890 419780 524725 1049450 2098900