Search a number
-
+
1352000 = 2653132
BaseRepresentation
bin101001010000101000000
32112200121002
411022011000
5321231000
644551132
714330456
oct5120500
92480532
101352000
11843861
125524a8
13384500
142729d6
151ba8d5
hex14a140

1352000 has 84 divisors (see below), whose sum is σ = 3625596. Its totient is φ = 499200.

The previous prime is 1351997. The next prime is 1352069. The reversal of 1352000 is 2531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 952576 + 399424 = 976^2 + 632^2 .

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103994 + ... + 104006.

21352000 is an apocalyptic number.

1352000 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 1352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812798).

1352000 is an abundant number, since it is smaller than the sum of its proper divisors (2273596).

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

1352000 is an equidigital number, since it uses as much as digits as its factorization.

1352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1352000 is about 1162.7553482999. The cubic root of 1352000 is about 110.5754962736.

Adding to 1352000 its reverse (2531), we get a palindrome (1354531).

The spelling of 1352000 in words is "one million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 169 200 208 250 260 320 325 338 400 416 500 520 650 676 800 832 845 1000 1040 1300 1352 1600 1625 1690 2000 2080 2600 2704 3250 3380 4000 4160 4225 5200 5408 6500 6760 8000 8450 10400 10816 13000 13520 16900 20800 21125 26000 27040 33800 42250 52000 54080 67600 84500 104000 135200 169000 270400 338000 676000 1352000