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1442320 = 245112149
BaseRepresentation
bin101100000001000010000
32201021111021
411200020100
5332123240
650525224
715155005
oct5401020
92637437
101442320
118a5700
12596814
133b6659
142978ac
151d754a
hex160210

1442320 has 60 divisors (see below), whose sum is σ = 3710700. Its totient is φ = 520960.

The previous prime is 1442317. The next prime is 1442321. The reversal of 1442320 is 232441.

It can be written as a sum of positive squares in 2 ways, for example, as 327184 + 1115136 = 572^2 + 1056^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1442294 and 1442303.

It is not an unprimeable number, because it can be changed into a prime (1442321) 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 11 ways as a sum of consecutive naturals, for example, 9606 + ... + 9754.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

21442320 is an apocalyptic number.

1442320 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 1442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855350).

1442320 is an abundant number, since it is smaller than the sum of its proper divisors (2268380).

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

1442320 is a wasteful number, since it uses less digits than its factorization.

1442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1442320 is about 1200.9662776281. The cubic root of 1442320 is about 112.9849354706.

Adding to 1442320 its reverse (232441), we get a palindrome (1674761).

The spelling of 1442320 in words is "one million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 149 176 220 242 298 440 484 596 605 745 880 968 1192 1210 1490 1639 1936 2384 2420 2980 3278 4840 5960 6556 8195 9680 11920 13112 16390 18029 26224 32780 36058 65560 72116 90145 131120 144232 180290 288464 360580 721160 1442320