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2098432 = 2871171
BaseRepresentation
bin1000000000010100000000
310221121111201
420000110000
51014122212
6112550544
723556610
oct10002400
93847451
102098432
111203646
12852454
1358619b
143c8a40
152b6b57
hex200500

2098432 has 36 divisors (see below), whose sum is σ = 4791136. Its totient is φ = 898560.

The previous prime is 2098427. The next prime is 2098441. The reversal of 2098432 is 2348902.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 29 + 0 + 9 + 83 + 4 + 35 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 2098432.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1207 + ... + 2377.

22098432 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 2098432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395568).

2098432 is an abundant number, since it is smaller than the sum of its proper divisors (2692704).

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

2098432 is an equidigital number, since it uses as much as digits as its factorization.

2098432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2098432 is about 1448.5965621939. The cubic root of 2098432 is about 128.0260363703.

The spelling of 2098432 in words is "two million, ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1171 1792 2342 4684 8197 9368 16394 18736 32788 37472 65576 74944 131152 149888 262304 299776 524608 1049216 2098432