Search a number
-
+
1232100 = 223252372
BaseRepresentation
bin100101100110011100100
32022121010100
410230303210
5303411400
642224100
713321062
oct4546344
92277110
101232100
11771771
124b5030
13341a6c
14241032
15195100
hex12cce4

1232100 has 81 divisors (see below), whose sum is σ = 3969147. Its totient is φ = 319680.

The previous prime is 1232089. The next prime is 1232171. The reversal of 1232100 is 12321.

It is a happy number.

The square root of 1232100 is 1110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 116964 + 1115136 = 342^2 + 1056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33282 + ... + 33318.

21232100 is an apocalyptic number.

1232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1232100 is the 1110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232100

1232100 is an abundant number, since it is smaller than the sum of its proper divisors (2737047).

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

1232100 is a wasteful number, since it uses less digits than its factorization.

1232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 1232100 is about 107.2050686324.

Adding to 1232100 its reverse (12321), we get a palindrome (1244421).

Multiplying 1232100 by its reverse (12321), we get a square (15180704100 = 1232102).

1232100 divided by its reverse (12321) gives a square (100 = 102).

The spelling of 1232100 in words is "one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1369 1665 1850 2220 2738 2775 3330 3700 4107 5476 5550 6660 6845 8214 8325 11100 12321 13690 16428 16650 20535 24642 27380 33300 34225 41070 49284 61605 68450 82140 102675 123210 136900 205350 246420 308025 410700 616050 1232100