Search a number
-
+
1332000 = 25325337
BaseRepresentation
bin101000101001100100000
32111200011100
411011030200
5320111000
644314400
714215245
oct5051440
92450140
101332000
1182a82a
12542a00
13378387
142695cc
151b4a00
hex145320

1332000 has 144 divisors (see below), whose sum is σ = 4855032. Its totient is φ = 345600.

The previous prime is 1331989. The next prime is 1332017. The reversal of 1332000 is 2331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 646416 = 828^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an Ulam 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 23 ways as a sum of consecutive naturals, for example, 35982 + ... + 36018.

21332000 is an apocalyptic number.

1332000 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 1332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427516).

1332000 is an abundant number, since it is smaller than the sum of its proper divisors (3523032).

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

1332000 is a wasteful number, since it uses less digits than its factorization.

1332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1332000 is about 1154.1230437003. The cubic root of 1332000 is about 110.0275413131.

Adding to 1332000 its reverse (2331), we get a palindrome (1334331).

The spelling of 1332000 in words is "one million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 72 74 75 80 90 96 100 111 120 125 144 148 150 160 180 185 200 222 225 240 250 288 296 300 333 360 370 375 400 444 450 480 500 555 592 600 666 720 740 750 800 888 900 925 1000 1110 1125 1184 1200 1332 1440 1480 1500 1665 1776 1800 1850 2000 2220 2250 2400 2664 2775 2960 3000 3330 3552 3600 3700 4000 4440 4500 4625 5328 5550 5920 6000 6660 7200 7400 8325 8880 9000 9250 10656 11100 12000 13320 13875 14800 16650 17760 18000 18500 22200 26640 27750 29600 33300 36000 37000 41625 44400 53280 55500 66600 74000 83250 88800 111000 133200 148000 166500 222000 266400 333000 444000 666000 1332000