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2098560 = 27351093
BaseRepresentation
bin1000000000010110000000
310221121200110
420000112000
51014123220
6112551320
723560152
oct10002600
93847613
102098560
111203752
12852540
13586269
143c8ad2
152b6be0
hex200580

2098560 has 64 divisors (see below), whose sum is σ = 6695280. Its totient is φ = 559104.

The previous prime is 2098559. The next prime is 2098573. The reversal of 2098560 is 658902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1374 + ... + 2466.

22098560 is an apocalyptic number.

2098560 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 2098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347640).

2098560 is an abundant number, since it is smaller than the sum of its proper divisors (4596720).

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

2098560 is a wasteful number, since it uses less digits than its factorization.

2098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2098560 is about 1448.6407422132. The cubic root of 2098560 is about 128.0286394249.

The spelling of 2098560 in words is "two million, ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1093 1920 2186 3279 4372 5465 6558 8744 10930 13116 16395 17488 21860 26232 32790 34976 43720 52464 65580 69952 87440 104928 131160 139904 174880 209856 262320 349760 419712 524640 699520 1049280 2098560