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1332144 = 243211292
BaseRepresentation
bin101000101001110110000
32111200100200
411011032300
5320112034
644315200
714215542
oct5051660
92450320
101332144
1182a950
12542b00
13378468
14269692
151b4a99
hex1453b0

1332144 has 90 divisors (see below), whose sum is σ = 4212156. Its totient is φ = 389760.

The previous prime is 1332127. The next prime is 1332151. The reversal of 1332144 is 4412331.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45922 + ... + 45950.

21332144 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 1332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106078).

1332144 is an abundant number, since it is smaller than the sum of its proper divisors (2880012).

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

1332144 is a wasteful number, since it uses less digits than its factorization.

1332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 1332144 is about 1154.1854270437. The cubic root of 1332144 is about 110.0315061267.

Adding to 1332144 its reverse (4412331), we get a palindrome (5744475).

The spelling of 1332144 in words is "one million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 841 957 1044 1276 1392 1584 1682 1914 2088 2523 2552 2871 3364 3828 4176 5046 5104 5742 6728 7569 7656 9251 10092 11484 13456 15138 15312 18502 20184 22968 27753 30276 37004 40368 45936 55506 60552 74008 83259 111012 121104 148016 166518 222024 333036 444048 666072 1332144