Search a number
-
+
1412820 = 2232547167
BaseRepresentation
bin101011000111011010100
32122210000200
411120323110
5330202240
650140500
715003003
oct5307324
92583020
101412820
11885522
12581730
133a60b6
1428ac3a
151cd930
hex158ed4

1412820 has 72 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 366528.

The previous prime is 1412813. The next prime is 1412833. The reversal of 1412820 is 282141.

It is a super-3 number, since 3×14128203 = 8460221961233304000, which contains 333 as substring.

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

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1412793 and 1412802.

It is a congruent number.

It is an unprimeable number.

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, 8377 + ... + 8543.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

21412820 is an apocalyptic number.

1412820 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 1412820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

1412820 is an abundant number, since it is smaller than the sum of its proper divisors (2990124).

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

1412820 is a wasteful number, since it uses less digits than its factorization.

1412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1412820 is about 1188.6210497884. The cubic root of 1412820 is about 112.2093236745.

Adding to 1412820 its reverse (282141), we get a palindrome (1694961).

The spelling of 1412820 in words is "one million, four hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 167 180 188 235 282 334 423 470 501 564 668 705 835 846 940 1002 1410 1503 1670 1692 2004 2115 2505 2820 3006 3340 4230 5010 6012 7515 7849 8460 10020 15030 15698 23547 30060 31396 39245 47094 70641 78490 94188 117735 141282 156980 235470 282564 353205 470940 706410 1412820