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2098096 = 2471113131
BaseRepresentation
bin1000000000001110110000
310221121001021
420000032300
51014114341
6112545224
723555620
oct10001660
93847037
102098096
111203370
12852214
13585ca0
143c8880
152b69d1
hex2003b0

2098096 has 80 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 748800.

The previous prime is 2098081. The next prime is 2098097. The reversal of 2098096 is 6908902.

It is a d-powerful number, because it can be written as 27 + 0 + 92 + 87 + 0 + 93 + 6 .

It is not an unprimeable number, because it can be changed into a prime (2098097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15951 + ... + 16081.

22098096 is an apocalyptic number.

2098096 is a gapful number since it is divisible by the number (26) 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 2098096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2098096 is an abundant number, since it is smaller than the sum of its proper divisors (3401552).

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

2098096 is a wasteful number, since it uses less digits than its factorization.

2098096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2098096 is about 1448.4805832320. The cubic root of 2098096 is about 128.0192028482.

The spelling of 2098096 in words is "two million, ninety-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 131 143 154 176 182 208 262 286 308 364 524 572 616 728 917 1001 1048 1144 1232 1441 1456 1703 1834 2002 2096 2288 2882 3406 3668 4004 5764 6812 7336 8008 10087 11528 11921 13624 14672 16016 18733 20174 23056 23842 27248 37466 40348 47684 74932 80696 95368 131131 149864 161392 190736 262262 299728 524524 1049048 2098096