Search a number
-
+
7136064 = 263213953
BaseRepresentation
bin11011001110001101000000
3111102112211200
4123032031000
53311323224
6412541200
7114440565
oct33161500
914375750
107136064
114034481
122481800
13162b130
14d3a86c
1595e5c9
hex6ce340

7136064 has 84 divisors (see below), whose sum is σ = 22050756. Its totient is φ = 2193408.

The previous prime is 7136047. The next prime is 7136069. The reversal of 7136064 is 4606317.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 5198400 = 1392^2 + 2280^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7136069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7012 + ... + 7964.

It is an arithmetic number, because the mean of its divisors is an integer number (262509).

Almost surely, 27136064 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 7136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11025378).

7136064 is an abundant number, since it is smaller than the sum of its proper divisors (14914692).

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

7136064 is a wasteful number, since it uses less digits than its factorization.

7136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7136064 is about 2671.3412361583. The cubic root of 7136064 is about 192.5246069629.

The spelling of 7136064 in words is "seven million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 953 1248 1872 1906 2496 2859 3744 3812 5718 7488 7624 8577 11436 12389 15248 17154 22872 24778 30496 34308 37167 45744 49556 60992 68616 74334 91488 99112 111501 137232 148668 182976 198224 223002 274464 297336 396448 446004 548928 594672 792896 892008 1189344 1784016 2378688 3568032 7136064