Search a number
-
+
7130000 = 24542331
BaseRepresentation
bin11011001100101110010000
3111102020112002
4123030232100
53311130000
6412453132
7114414113
oct33145620
914366462
107130000
11402a969
12247a1a8
131628447
14d3857a
1595c8d5
hex6ccb90

7130000 has 100 divisors (see below), whose sum is σ = 18594048. Its totient is φ = 2640000.

The previous prime is 7129877. The next prime is 7130003. The reversal of 7130000 is 317.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (7130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229985 + ... + 230015.

Almost surely, 27130000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9297024).

7130000 is an abundant number, since it is smaller than the sum of its proper divisors (11464048).

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

7130000 is a wasteful number, since it uses less digits than its factorization.

7130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 7130000 is about 2670.2059845637. The cubic root of 7130000 is about 192.4700577480.

Adding to 7130000 its reverse (317), we get a palindrome (7130317).

The spelling of 7130000 in words is "seven million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 31 40 46 50 62 80 92 100 115 124 125 155 184 200 230 248 250 310 368 400 460 496 500 575 620 625 713 775 920 1000 1150 1240 1250 1426 1550 1840 2000 2300 2480 2500 2852 2875 3100 3565 3875 4600 5000 5704 5750 6200 7130 7750 9200 10000 11408 11500 12400 14260 14375 15500 17825 19375 23000 28520 28750 31000 35650 38750 46000 57040 57500 62000 71300 77500 89125 115000 142600 155000 178250 230000 285200 310000 356500 445625 713000 891250 1426000 1782500 3565000 7130000