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2020128 = 253111913
BaseRepresentation
bin111101101001100100000
310210122002120
413231030200
51004121003
6111144240
723112405
oct7551440
93718076
102020128
11115a830
12815080
13559656
143a82ac
1529d853
hex1ed320

2020128 has 48 divisors (see below), whose sum is σ = 5787936. Its totient is φ = 611840.

The previous prime is 2020091. The next prime is 2020147. The reversal of 2020128 is 8210202.

It is a tau number, because it is divible by the number of its divisors (48).

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, 100 + ... + 2012.

It is an arithmetic number, because the mean of its divisors is an integer number (120582).

22020128 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 2020128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893968).

2020128 is an abundant number, since it is smaller than the sum of its proper divisors (3767808).

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

2020128 is a wasteful number, since it uses less digits than its factorization.

2020128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2020128 is about 1421.3120698847. The cubic root of 2020128 is about 126.4133564906.

The spelling of 2020128 in words is "two million, twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1913 3826 5739 7652 11478 15304 21043 22956 30608 42086 45912 61216 63129 84172 91824 126258 168344 183648 252516 336688 505032 673376 1010064 2020128