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2098854 = 23217193
BaseRepresentation
bin1000000000011010100110
310221122002100
420000122212
51014130404
6112552530
723561052
oct10003246
93848070
102098854
11120399a
12852746
13586434
143c8c62
152b6d39
hex2006a6

2098854 has 48 divisors (see below), whose sum is σ = 5082480. Its totient is φ = 623808.

The previous prime is 2098841. The next prime is 2098861. The reversal of 2098854 is 4588902.

It is a super-2 number, since 2×20988542 = 8810376226632, which contains 22 as substring.

It is a d-powerful number, because it can be written as 25 + 0 + 9 + 83 + 87 + 53 + 45 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 110457 + ... + 110475.

It is an arithmetic number, because the mean of its divisors is an integer number (105885).

22098854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541240).

2098854 is an abundant number, since it is smaller than the sum of its proper divisors (2983626).

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

2098854 is a wasteful number, since it uses less digits than its factorization.

2098854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2098854 is about 1448.7422130938. The cubic root of 2098854 is about 128.0346179153.

The spelling of 2098854 in words is "two million, ninety-eight thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 361 646 722 969 1083 1938 2166 2907 3249 5814 6137 6498 6859 12274 13718 18411 20577 36822 41154 55233 61731 110466 116603 123462 233206 349809 699618 1049427 2098854