Search a number
-
+
1442820 = 2235139173
BaseRepresentation
bin101100000010000000100
32201022011210
411200100010
5332132240
650531420
715156321
oct5402004
92638153
101442820
118a6015
12596b70
133b6952
14297b48
151d7780
hex160404

1442820 has 48 divisors (see below), whose sum is σ = 4092480. Its totient is φ = 379776.

The previous prime is 1442797. The next prime is 1442827. The reversal of 1442820 is 282441.

It is not an unprimeable number, because it can be changed into a prime (1442827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8254 + ... + 8426.

It is an arithmetic number, because the mean of its divisors is an integer number (85260).

21442820 is an apocalyptic number.

1442820 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 1442820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046240).

1442820 is an abundant number, since it is smaller than the sum of its proper divisors (2649660).

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

1442820 is a wasteful number, since it uses less digits than its factorization.

1442820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1442820 is about 1201.1744253022. The cubic root of 1442820 is about 112.9979898878.

Multiplying 1442820 by its sum of digits (21), we get a triangular number (30299220 = T7784).

The spelling of 1442820 in words is "one million, four hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 173 278 346 417 519 556 692 695 834 865 1038 1390 1668 1730 2076 2085 2595 2780 3460 4170 5190 8340 10380 24047 48094 72141 96188 120235 144282 240470 288564 360705 480940 721410 1442820