Search a number
-
+
1340820 = 2233513191
BaseRepresentation
bin101000111010110010100
32112010021000
411013112110
5320401240
644423300
714253045
oct5072624
92463230
101340820
11836418
12547b30
1337c3b0
1426c8cc
151b7430
hex147594

1340820 has 96 divisors (see below), whose sum is σ = 4515840. Its totient is φ = 328320.

The previous prime is 1340803. The next prime is 1340827. The reversal of 1340820 is 280431.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1340793 and 1340802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6925 + ... + 7115.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

21340820 is an apocalyptic number.

1340820 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 1340820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257920).

1340820 is an abundant number, since it is smaller than the sum of its proper divisors (3175020).

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

1340820 is a wasteful number, since it uses less digits than its factorization.

1340820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

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

The square root of 1340820 is about 1157.9378221649. The cubic root of 1340820 is about 110.2698608303.

The spelling of 1340820 in words is "one million, three hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 191 195 234 260 270 351 382 390 468 540 573 585 702 764 780 955 1146 1170 1404 1719 1755 1910 2292 2340 2483 2865 3438 3510 3820 4966 5157 5730 6876 7020 7449 8595 9932 10314 11460 12415 14898 17190 20628 22347 24830 25785 29796 34380 37245 44694 49660 51570 67041 74490 89388 103140 111735 134082 148980 223470 268164 335205 446940 670410 1340820