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1035138 = 231323577
BaseRepresentation
bin11111100101110000010
31221120221110
43330232002
5231111023
634104150
711540616
oct3745602
91846843
101035138
11647795
1241b056
132a3210
141cd346
15156a93
hexfcb82

1035138 has 32 divisors (see below), whose sum is σ = 2330496. Its totient is φ = 304128.

The previous prime is 1035131. The next prime is 1035163. The reversal of 1035138 is 8315301.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1035131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1506 + ... + 2082.

It is an arithmetic number, because the mean of its divisors is an integer number (72828).

21035138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165248).

1035138 is an abundant number, since it is smaller than the sum of its proper divisors (1295358).

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

1035138 is a wasteful number, since it uses less digits than its factorization.

1035138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1035138 is about 1017.4173185080. The cubic root of 1035138 is about 101.1578096980.

The spelling of 1035138 in words is "one million, thirty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 577 598 897 1154 1731 1794 3462 7501 13271 15002 22503 26542 39813 45006 79626 172523 345046 517569 1035138