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2057088 = 27311487
BaseRepresentation
bin111110110001110000000
310212111210110
413312032000
51011311323
6112031320
723325225
oct7661600
93774713
102057088
111185580
12832540
13570417
143b794c
152a9793
hex1f6380

2057088 has 64 divisors (see below), whose sum is σ = 5973120. Its totient is φ = 622080.

The previous prime is 2057087. The next prime is 2057113. The reversal of 2057088 is 8807502.

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

It is a super-2 number, since 2×20570882 = 8463222079488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3981 + ... + 4467.

It is an arithmetic number, because the mean of its divisors is an integer number (93330).

22057088 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 2057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986560).

2057088 is an abundant number, since it is smaller than the sum of its proper divisors (3916032).

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

2057088 is a wasteful number, since it uses less digits than its factorization.

2057088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2057088 is about 1434.2552074160. The cubic root of 2057088 is about 127.1796494479.

The spelling of 2057088 in words is "two million, fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 487 528 704 974 1056 1408 1461 1948 2112 2922 3896 4224 5357 5844 7792 10714 11688 15584 16071 21428 23376 31168 32142 42856 46752 62336 64284 85712 93504 128568 171424 187008 257136 342848 514272 685696 1028544 2057088