Search a number
-
+
1232840 = 235721737
BaseRepresentation
bin100101100111111001000
32022122010202
410230333020
5303422330
642231332
713323200
oct4547710
92278122
101232840
11772284
124b5548
133421bb
14241400
15195445
hex12cfc8

1232840 has 96 divisors (see below), whose sum is σ = 3508920. Its totient is φ = 387072.

The previous prime is 1232831. The next prime is 1232843. The reversal of 1232840 is 482321.

It can be written as a sum of positive squares in 4 ways, for example, as 1223236 + 9604 = 1106^2 + 98^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33302 + ... + 33338.

21232840 is an apocalyptic number.

1232840 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 1232840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754460).

1232840 is an abundant number, since it is smaller than the sum of its proper divisors (2276080).

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

1232840 is a wasteful number, since it uses less digits than its factorization.

1232840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1232840 is about 1110.3332832983. Note that the first 3 decimals coincide. The cubic root of 1232840 is about 107.2265268132.

The spelling of 1232840 in words is "one million, two hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 37 40 49 56 68 70 74 85 98 119 136 140 148 170 185 196 238 245 259 280 296 340 370 392 476 490 518 595 629 680 740 833 952 980 1036 1190 1258 1295 1480 1666 1813 1960 2072 2380 2516 2590 3145 3332 3626 4165 4403 4760 5032 5180 6290 6664 7252 8330 8806 9065 10360 12580 14504 16660 17612 18130 22015 25160 30821 33320 35224 36260 44030 61642 72520 88060 123284 154105 176120 246568 308210 616420 1232840