Search a number
-
+
3215136 = 253107313
BaseRepresentation
bin1100010000111100100000
320001100100010
430100330200
51310341021
6152524520
736220401
oct14207440
96040303
103215136
1118a6641
1210b0740
13887562
145d99a8
15437976
hex310f20

3215136 has 48 divisors (see below), whose sum is σ = 8545824. Its totient is φ = 1058304.

The previous prime is 3215131. The next prime is 3215137. The reversal of 3215136 is 6315123.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3215131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10116 + ... + 10428.

It is an arithmetic number, because the mean of its divisors is an integer number (178038).

Almost surely, 23215136 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 3215136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272912).

3215136 is an abundant number, since it is smaller than the sum of its proper divisors (5330688).

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

3215136 is a wasteful number, since it uses less digits than its factorization.

3215136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 3215136 is about 1793.0800316773. The cubic root of 3215136 is about 147.5932341696.

It can be divided in two parts, 321 and 5136, that multiplied together give a square (1648656 = 12842).

The spelling of 3215136 in words is "three million, two hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 313 321 428 626 642 856 939 1252 1284 1712 1878 2504 2568 3424 3756 5008 5136 7512 10016 10272 15024 30048 33491 66982 100473 133964 200946 267928 401892 535856 803784 1071712 1607568 3215136