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1012128 = 25313811
BaseRepresentation
bin11110111000110100000
31220102101020
43313012200
5224342003
633405440
711413545
oct3670640
91812336
101012128
11631477
12409880
132958c0
141c4bcc
1514ed53
hexf71a0

1012128 has 48 divisors (see below), whose sum is σ = 2864736. Its totient is φ = 311040.

The previous prime is 1012103. The next prime is 1012133. The reversal of 1012128 is 8212101.

1012128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 843 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (59682).

21012128 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 1012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432368).

1012128 is an abundant number, since it is smaller than the sum of its proper divisors (1852608).

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

1012128 is a wasteful number, since it uses less digits than its factorization.

1012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1012128 is about 1006.0457246070. The cubic root of 1012128 is about 100.4026432747.

Adding to 1012128 its reverse (8212101), we get a palindrome (9224229).

The spelling of 1012128 in words is "one million, twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 811 1248 1622 2433 3244 4866 6488 9732 10543 12976 19464 21086 25952 31629 38928 42172 63258 77856 84344 126516 168688 253032 337376 506064 1012128