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2129088 = 26313853
BaseRepresentation
bin1000000111110011000000
311000011120010
420013303000
51021112323
6113344520
724045153
oct10076300
94004503
102129088
111224685
12868140
13597120
143d5c9a
152c0c93
hex207cc0

2129088 has 56 divisors (see below), whose sum is σ = 6073648. Its totient is φ = 654336.

The previous prime is 2129069. The next prime is 2129107. The reversal of 2129088 is 8809212.

It is an interprime number because it is at equal distance from previous prime (2129069) and next prime (2129107).

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, 2070 + ... + 2922.

It is an arithmetic number, because the mean of its divisors is an integer number (108458).

22129088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036824).

2129088 is an abundant number, since it is smaller than the sum of its proper divisors (3944560).

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

2129088 is a wasteful number, since it uses less digits than its factorization.

2129088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2129088 is about 1459.1394724289. The cubic root of 2129088 is about 128.6464690690.

The spelling of 2129088 in words is "two million, one hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 853 1248 1706 2496 2559 3412 5118 6824 10236 11089 13648 20472 22178 27296 33267 40944 44356 54592 66534 81888 88712 133068 163776 177424 266136 354848 532272 709696 1064544 2129088