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1045993 = 13174733
BaseRepresentation
bin11111111010111101001
31222010211111
43333113221
5231432433
634230321
711614354
oct3772751
91863744
101045993
11654963
124253a1
132a8140
141d329b
15159dcd
hexff5e9

1045993 has 8 divisors (see below), whose sum is σ = 1192968. Its totient is φ = 908544.

The previous prime is 1045987. The next prime is 1045997. The reversal of 1045993 is 3995401.

It can be written as a sum of positive squares in 4 ways, for example, as 29929 + 1016064 = 173^2 + 1008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1045993 - 213 = 1037801 is a prime.

It is a Duffinian number.

1045993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1045997) 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, 2146 + ... + 2587.

It is an arithmetic number, because the mean of its divisors is an integer number (149121).

21045993 is an apocalyptic number.

1045993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1045993 is a deficient number, since it is larger than the sum of its proper divisors (146975).

1045993 is a wasteful number, since it uses less digits than its factorization.

1045993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 1045993 is about 1022.7379918630. The cubic root of 1045993 is about 101.5101787943.

The spelling of 1045993 in words is "one million, forty-five thousand, nine hundred ninety-three".

Divisors: 1 13 17 221 4733 61529 80461 1045993