Search a number
-
+
1320840 = 233351223
BaseRepresentation
bin101000010011110001000
32111002212000
411002132020
5314231330
644151000
714140563
oct5023610
92432760
101320840
11822404
12538460
13373281
142654da
151b1560
hex142788

1320840 has 64 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 351936.

The previous prime is 1320811. The next prime is 1320859. The reversal of 1320840 is 480231.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469 + ... + 1691.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

21320840 is an apocalyptic number.

1320840 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 1320840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203200).

1320840 is an abundant number, since it is smaller than the sum of its proper divisors (3085560).

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

1320840 is a wasteful number, since it uses less digits than its factorization.

1320840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1233 counting only the distinct ones).

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

The square root of 1320840 is about 1149.2780342458. The cubic root of 1320840 is about 109.7193949909.

The spelling of 1320840 in words is "one million, three hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1223 2446 3669 4892 6115 7338 9784 11007 12230 14676 18345 22014 24460 29352 33021 36690 44028 48920 55035 66042 73380 88056 110070 132084 146760 165105 220140 264168 330210 440280 660420 1320840