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1052040 = 233511797
BaseRepresentation
bin100000000110110001000
31222110010110
410000312020
5232131130
634314320
711641113
oct4006610
91873113
101052040
11659460
124289a0
132aab12
141d557a
1515bab0
hex100d88

1052040 has 64 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 254720.

The previous prime is 1052039. The next prime is 1052041. The reversal of 1052040 is 402501.

It is an interprime number because it is at equal distance from previous prime (1052039) and next prime (1052041).

It is a super-2 number, since 2×10520402 = 2213576323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1052041) 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, 922 + ... + 1718.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

21052040 is an apocalyptic number.

1052040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1052040 is an abundant number, since it is smaller than the sum of its proper divisors (2395320).

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

1052040 is a wasteful number, since it uses less digits than its factorization.

1052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1052040 is about 1025.6900116507. The cubic root of 1052040 is about 101.7054168628.

Adding to 1052040 its reverse (402501), we get a palindrome (1454541).

It can be divided in two parts, 105 and 2040, that added together give a triangular number (2145 = T65).

The spelling of 1052040 in words is "one million, fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 797 1320 1594 2391 3188 3985 4782 6376 7970 8767 9564 11955 15940 17534 19128 23910 26301 31880 35068 43835 47820 52602 70136 87670 95640 105204 131505 175340 210408 263010 350680 526020 1052040