Search a number
-
+
7131440 = 24597919
BaseRepresentation
bin11011001101000100110000
3111102022111102
4123031010300
53311201230
6412503532
7114421241
oct33150460
914368442
107131440
114030a58
12247aba8
131628cb4
14d38cc8
1595d045
hex6cd130

7131440 has 40 divisors (see below), whose sum is σ = 16769760. Its totient is φ = 2820096.

The previous prime is 7131437. The next prime is 7131461. The reversal of 7131440 is 441317.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7301 + ... + 8219.

It is an arithmetic number, because the mean of its divisors is an integer number (419244).

Almost surely, 27131440 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 7131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384880).

7131440 is an abundant number, since it is smaller than the sum of its proper divisors (9638320).

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

7131440 is a wasteful number, since it uses less digits than its factorization.

7131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 7131440 is about 2670.4756130697. The cubic root of 7131440 is about 192.4830141869.

Adding to 7131440 its reverse (441317), we get a palindrome (7572757).

The spelling of 7131440 in words is "seven million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 919 970 1552 1838 1940 3676 3880 4595 7352 7760 9190 14704 18380 36760 73520 89143 178286 356572 445715 713144 891430 1426288 1782860 3565720 7131440