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2088128 = 2675979
BaseRepresentation
bin111111101110011000000
310221002101002
413331303000
51013310003
6112431132
723514560
oct7756300
93832332
102088128
1111a6929
128484a8
135815a3
143c4da0
152b3a88
hex1fdcc0

2088128 has 56 divisors (see below), whose sum is σ = 4876800. Its totient is φ = 868608.

The previous prime is 2088109. The next prime is 2088131. The reversal of 2088128 is 8218802.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2088128.

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, 26393 + ... + 26471.

22088128 is an apocalyptic number.

2088128 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 2088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438400).

2088128 is an abundant number, since it is smaller than the sum of its proper divisors (2788672).

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

2088128 is an equidigital number, since it uses as much as digits as its factorization.

2088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

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

The square root of 2088128 is about 1445.0356396989. The cubic root of 2088128 is about 127.8161422854.

The spelling of 2088128 in words is "two million, eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 79 112 118 158 224 236 316 413 448 472 553 632 826 944 1106 1264 1652 1888 2212 2528 3304 3776 4424 4661 5056 6608 8848 9322 13216 17696 18644 26432 32627 35392 37288 65254 74576 130508 149152 261016 298304 522032 1044064 2088128