Search a number
-
+
7133370 = 2351771197
BaseRepresentation
bin11011001101100010111010
3111102102010220
4123031202322
53311231440
6412520510
7114426666
oct33154272
914372126
107133370
114032452
122480136
131629b3a
14d398a6
1595d8d0
hex6cd8ba

7133370 has 64 divisors (see below), whose sum is σ = 18475776. Its totient is φ = 1756160.

The previous prime is 7133363. The next prime is 7133393. The reversal of 7133370 is 733317.

It is a self number, because there is not a number n which added to its sum of digits gives 7133370.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36112 + ... + 36308.

It is an arithmetic number, because the mean of its divisors is an integer number (288684).

Almost surely, 27133370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7133370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9237888).

7133370 is an abundant number, since it is smaller than the sum of its proper divisors (11342406).

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

7133370 is a wasteful number, since it uses less digits than its factorization.

7133370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its (nonzero) digits is 1323, while the sum is 24.

The square root of 7133370 is about 2670.8369474755. The cubic root of 7133370 is about 192.5003766789.

Adding to 7133370 its reverse (733317), we get a palindrome (7866687).

It can be divided in two parts, 7133 and 370, that added together give a triangular number (7503 = T122).

The spelling of 7133370 in words is "seven million, one hundred thirty-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 197 213 255 355 394 426 510 591 710 985 1065 1182 1207 1970 2130 2414 2955 3349 3621 5910 6035 6698 7242 10047 12070 13987 16745 18105 20094 27974 33490 36210 41961 50235 69935 83922 100470 139870 209805 237779 419610 475558 713337 1188895 1426674 2377790 3566685 7133370