Search a number
-
+
1332100 = 2252711173
BaseRepresentation
bin101000101001110000100
32111200022001
411011032010
5320111400
644315044
714215450
oct5051604
92450261
101332100
1182a910
12542a84
13378433
14269660
151b4a6a
hex145384

1332100 has 72 divisors (see below), whose sum is σ = 3624768. Its totient is φ = 412800.

The previous prime is 1332077. The next prime is 1332119. The reversal of 1332100 is 12331.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7614 + ... + 7786.

It is an arithmetic number, because the mean of its divisors is an integer number (50344).

21332100 is an apocalyptic number.

1332100 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 1332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812384).

1332100 is an abundant number, since it is smaller than the sum of its proper divisors (2292668).

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

1332100 is a wasteful number, since it uses less digits than its factorization.

1332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1332100 is about 1154.1663658243. The cubic root of 1332100 is about 110.0302946862.

Adding to 1332100 its reverse (12331), we get a palindrome (1344431).

The spelling of 1332100 in words is "one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 173 175 220 275 308 346 350 385 550 692 700 770 865 1100 1211 1540 1730 1903 1925 2422 3460 3806 3850 4325 4844 6055 7612 7700 8650 9515 12110 13321 17300 19030 24220 26642 30275 38060 47575 53284 60550 66605 95150 121100 133210 190300 266420 333025 666050 1332100