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2132088 = 2337437
BaseRepresentation
bin1000001000100001111000
311000022200020
420020201320
51021211323
6113410440
724060000
oct10104170
94008606
102132088
111226962
12869a20
135985ba
143d7000
152c1ae3
hex208878

2132088 has 80 divisors (see below), whose sum is σ = 6386280. Its totient is φ = 592704.

The previous prime is 2132063. The next prime is 2132107. The reversal of 2132088 is 8802312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57606 + ... + 57642.

22132088 is an apocalyptic number.

2132088 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 2132088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193140).

2132088 is an abundant number, since it is smaller than the sum of its proper divisors (4254192).

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

2132088 is an equidigital number, since it uses as much as digits as its factorization.

2132088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2132088 is about 1460.1671137236. The cubic root of 2132088 is about 128.7068639860.

The spelling of 2132088 in words is "two million, one hundred thirty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 343 392 444 518 588 686 777 888 1029 1036 1176 1372 1554 1813 2058 2072 2401 2744 3108 3626 4116 4802 5439 6216 7203 7252 8232 9604 10878 12691 14406 14504 19208 21756 25382 28812 38073 43512 50764 57624 76146 88837 101528 152292 177674 266511 304584 355348 533022 710696 1066044 2132088