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1085601 = 31167491
BaseRepresentation
bin100001001000010100001
32001011011110
410021002201
5234214401
635133533
712141006
oct4110241
92034143
101085601
116816a0
124442a9
132c018a
142038ad
151669d6
hex1090a1

1085601 has 16 divisors (see below), whose sum is σ = 1605888. Its totient is φ = 646800.

The previous prime is 1085587. The next prime is 1085611. The reversal of 1085601 is 1065801.

1085601 is a nontrivial binomial coefficient, being equal to C(1474, 2).

It is not a de Polignac number, because 1085601 - 27 = 1085473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1085611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966 + ... + 2456.

It is an arithmetic number, because the mean of its divisors is an integer number (100368).

21085601 is an apocalyptic number.

1085601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1085601 is the 1473-rd triangular number and also the 737-th hexagonal number.

It is an amenable number.

1085601 is a deficient number, since it is larger than the sum of its proper divisors (520287).

1085601 is a wasteful number, since it uses less digits than its factorization.

1085601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1085601 is about 1041.9217820931. The cubic root of 1085601 is about 102.7756135789.

The spelling of 1085601 in words is "one million, eighty-five thousand, six hundred one".

Divisors: 1 3 11 33 67 201 491 737 1473 2211 5401 16203 32897 98691 361867 1085601