Search a number
-
+
7141820 = 2257139367
BaseRepresentation
bin11011001111100110111100
3111102211201212
4123033212330
53312014240
6413023552
7114463430
oct33174674
914384655
107141820
114038834
122484bb8
13163093a
14d3c9c0
15961165
hex6cf9bc

7141820 has 48 divisors (see below), whose sum is σ = 17310720. Its totient is φ = 2424384.

The previous prime is 7141807. The next prime is 7141829. The reversal of 7141820 is 281417.

7141820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7141829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19277 + ... + 19643.

It is an arithmetic number, because the mean of its divisors is an integer number (360640).

Almost surely, 27141820 is an apocalyptic number.

7141820 is a gapful number since it is divisible by the number (70) 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 7141820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655360).

7141820 is an abundant number, since it is smaller than the sum of its proper divisors (10168900).

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

7141820 is a wasteful number, since it uses less digits than its factorization.

7141820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 7141820 is about 2672.4183804188. The cubic root of 7141820 is about 192.5763569574.

The spelling of 7141820 in words is "seven million, one hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 367 556 695 734 973 1390 1468 1835 1946 2569 2780 3670 3892 4865 5138 7340 9730 10276 12845 19460 25690 51013 51380 102026 204052 255065 357091 510130 714182 1020260 1428364 1785455 3570910 7141820