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1052007 = 31171449
BaseRepresentation
bin100000000110101100111
31222110002020
410000311213
5232131012
634314223
711641035
oct4006547
91873066
101052007
11659430
12428973
132aaab8
141d5555
1515ba8c
hex100d67

1052007 has 16 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 627200.

The previous prime is 1051991. The next prime is 1052027. The reversal of 1052007 is 7002501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1052007 - 24 = 1051991 is a prime.

It is a super-2 number, since 2×10520072 = 2213437456098, which contains 22 as substring.

1052007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052027) 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, 2119 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

21052007 is an apocalyptic number.

1052007 is a deficient number, since it is larger than the sum of its proper divisors (503193).

1052007 is a wasteful number, since it uses less digits than its factorization.

1052007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1052007 is about 1025.6739247929. The cubic root of 1052007 is about 101.7043534324.

Adding to 1052007 its reverse (7002501), we get a palindrome (8054508).

It can be divided in two parts, 105 and 2007, that added together give a palindrome (2112).

The spelling of 1052007 in words is "one million, fifty-two thousand, seven".

Divisors: 1 3 11 33 71 213 449 781 1347 2343 4939 14817 31879 95637 350669 1052007