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1001052 = 2233132331
BaseRepresentation
bin11110100011001011100
31212212012000
43310121130
5224013202
633242300
711336343
oct3643134
91785160
101001052
11624118
12403390
13290850
141c0b5a
1514b91c
hexf465c

1001052 has 96 divisors (see below), whose sum is σ = 3010560. Its totient is φ = 285120.

The previous prime is 1001041. The next prime is 1001069. The reversal of 1001052 is 2501001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32277 + ... + 32307.

It is an arithmetic number, because the mean of its divisors is an integer number (31360).

21001052 is an apocalyptic number.

1001052 is a gapful number since it is divisible by the number (12) 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 1001052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505280).

1001052 is an abundant number, since it is smaller than the sum of its proper divisors (2009508).

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

1001052 is a wasteful number, since it uses less digits than its factorization.

1001052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1001052 is about 1000.5258617347. The cubic root of 1001052 is about 100.0350543771.

Adding to 1001052 its reverse (2501001), we get a palindrome (3502053).

The spelling of 1001052 in words is "one million, one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 31 36 39 46 52 54 62 69 78 92 93 108 117 124 138 156 186 207 234 276 279 299 351 372 403 414 468 558 598 621 702 713 806 828 837 897 1116 1196 1209 1242 1404 1426 1612 1674 1794 2139 2418 2484 2691 2852 3348 3588 3627 4278 4836 5382 6417 7254 8073 8556 9269 10764 10881 12834 14508 16146 18538 19251 21762 25668 27807 32292 37076 38502 43524 55614 77004 83421 111228 166842 250263 333684 500526 1001052