Search a number
-
+
1232820 = 22345761
BaseRepresentation
bin100101100111110110100
32022122010000
410230332310
5303422240
642231300
713323141
oct4547664
92278100
101232820
11772266
124b5530
133421a4
142413c8
15195430
hex12cfb4

1232820 has 60 divisors (see below), whose sum is σ = 3872484. Its totient is φ = 328320.

The previous prime is 1232809. The next prime is 1232831. The reversal of 1232820 is 282321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1232809) and next prime (1232831).

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 1089936 = 378^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1232793 and 1232802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1240 + ... + 2000.

21232820 is an apocalyptic number.

1232820 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 1232820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936242).

1232820 is an abundant number, since it is smaller than the sum of its proper divisors (2639664).

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

1232820 is a wasteful number, since it uses less digits than its factorization.

1232820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1232820 is about 1110.3242769570. The cubic root of 1232820 is about 107.2259469753.

The spelling of 1232820 in words is "one million, two hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 761 810 1522 1620 2283 3044 3805 4566 6849 7610 9132 11415 13698 15220 20547 22830 27396 34245 41094 45660 61641 68490 82188 102735 123282 136980 205470 246564 308205 410940 616410 1232820