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1040013 = 33132963
BaseRepresentation
bin11111101111010001101
31221211122000
43331322031
5231240023
634142513
711561052
oct3757215
91854560
101040013
11650417
12421a39
132a54c0
141d1029
15158243
hexfde8d

1040013 has 16 divisors (see below), whose sum is σ = 1659840. Its totient is φ = 639792.

The previous prime is 1039999. The next prime is 1040021. The reversal of 1040013 is 3100401.

It is not a de Polignac number, because 1040013 - 26 = 1039949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1039977 and 1040004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040093) 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, 1131 + ... + 1832.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

21040013 is an apocalyptic number.

1040013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1040013 is a deficient number, since it is larger than the sum of its proper divisors (619827).

1040013 is a wasteful number, since it uses less digits than its factorization.

1040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1040013 is about 1019.8102764730. The cubic root of 1040013 is about 101.3163625300.

Adding to 1040013 its reverse (3100401), we get a palindrome (4140414).

The spelling of 1040013 in words is "one million, forty thousand, thirteen".

Divisors: 1 3 9 13 27 39 117 351 2963 8889 26667 38519 80001 115557 346671 1040013