Search a number
-
+
1390920 = 233567173
BaseRepresentation
bin101010011100101001000
32121122222120
411103211020
5324002140
645451240
714552106
oct5234510
92548876
101390920
11870023
12570b20
1339913b
14282c76
151c71d0
hex153948

1390920 has 64 divisors (see below), whose sum is σ = 4259520. Its totient is φ = 363264.

The previous prime is 1390919. The next prime is 1390931. The reversal of 1390920 is 290931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7954 + ... + 8126.

It is an arithmetic number, because the mean of its divisors is an integer number (66555).

21390920 is an apocalyptic number.

1390920 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 1390920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129760).

1390920 is an abundant number, since it is smaller than the sum of its proper divisors (2868600).

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

1390920 is a wasteful number, since it uses less digits than its factorization.

1390920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 1390920 is about 1179.3727146242. The cubic root of 1390920 is about 111.6265195645.

The spelling of 1390920 in words is "one million, three hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 173 201 268 335 346 402 519 536 670 692 804 865 1005 1038 1340 1384 1608 1730 2010 2076 2595 2680 3460 4020 4152 5190 6920 8040 10380 11591 20760 23182 34773 46364 57955 69546 92728 115910 139092 173865 231820 278184 347730 463640 695460 1390920