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2108288 = 27713181
BaseRepresentation
bin1000000010101110000000
310222010000202
420002232000
51014431123
6113104332
723630420
oct10025600
93863022
102108288
11120aa96
128580a8
1358a810
143cc480
152b9a28
hex202b80

2108288 has 64 divisors (see below), whose sum is σ = 5197920. Its totient is φ = 829440.

The previous prime is 2108263. The next prime is 2108291. The reversal of 2108288 is 8828012.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2108288.

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, 11558 + ... + 11738.

22108288 is an apocalyptic number.

2108288 is a gapful number since it is divisible by the number (28) 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 2108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598960).

2108288 is an abundant number, since it is smaller than the sum of its proper divisors (3089632).

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

2108288 is a wasteful number, since it uses less digits than its factorization.

2108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 2108288 is about 1451.9944903477. The cubic root of 2108288 is about 128.2261626588.

The spelling of 2108288 in words is "two million, one hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 181 182 208 224 362 364 416 448 724 728 832 896 1267 1448 1456 1664 2353 2534 2896 2912 4706 5068 5792 5824 9412 10136 11584 11648 16471 18824 20272 23168 32942 37648 40544 65884 75296 81088 131768 150592 162176 263536 301184 527072 1054144 2108288