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1052532 = 2232132173
BaseRepresentation
bin100000000111101110100
31222110210200
410000331310
5232140112
634320500
711642415
oct4007564
91873720
101052532
11659868
12429130
132ab100
141d580c
1515bcdc
hex100f74

1052532 has 54 divisors (see below), whose sum is σ = 2897622. Its totient is φ = 321984.

The previous prime is 1052531. The next prime is 1052533. The reversal of 1052532 is 2352501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1052531) and next prime (1052533).

It can be written as a sum of positive squares in 3 ways, for example, as 60516 + 992016 = 246^2 + 996^2 .

It is a super-2 number, since 2×10525322 = 2215647222048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052531) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5998 + ... + 6170.

21052532 is an apocalyptic number.

1052532 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 1052532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448811).

1052532 is an abundant number, since it is smaller than the sum of its proper divisors (1845090).

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

1052532 is a wasteful number, since it uses less digits than its factorization.

1052532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1052532 is about 1025.9298221613. The cubic root of 1052532 is about 101.7212690061.

The spelling of 1052532 in words is "one million, fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 173 234 338 346 468 507 519 676 692 1014 1038 1521 1557 2028 2076 2249 3042 3114 4498 6084 6228 6747 8996 13494 20241 26988 29237 40482 58474 80964 87711 116948 175422 263133 350844 526266 1052532