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1132352 = 26131361
BaseRepresentation
bin100010100011101000000
32010112021222
410110131000
5242213402
640134212
712424214
oct4243500
92115258
101132352
11703831
12467368
13308540
14216944
151757a2
hex114740

1132352 has 28 divisors (see below), whose sum is σ = 2421636. Its totient is φ = 522240.

The previous prime is 1132333. The next prime is 1132393. The reversal of 1132352 is 2532311.

It can be written as a sum of positive squares in 2 ways, for example, as 179776 + 952576 = 424^2 + 976^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1132352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (86487).

21132352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210818).

1132352 is an abundant number, since it is smaller than the sum of its proper divisors (1289284).

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

1132352 is a wasteful number, since it uses less digits than its factorization.

1132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 1132352 is about 1064.1202939518. The cubic root of 1132352 is about 104.2302590542.

Adding to 1132352 its reverse (2532311), we get a palindrome (3664663).

The spelling of 1132352 in words is "one million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1361 2722 5444 10888 17693 21776 35386 43552 70772 87104 141544 283088 566176 1132352