Search a number
-
+
4060032 = 27397109
BaseRepresentation
bin1111011111001110000000
321122021022120
433133032000
52014410112
6223004240
746336554
oct17371600
97567276
104060032
1123233a9
121439680
13ac1cb2
14779864
15552e8c
hex3df380

4060032 has 64 divisors (see below), whose sum is σ = 10995600. Its totient is φ = 1327104.

The previous prime is 4060019. The next prime is 4060037. The reversal of 4060032 is 2300604.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4059993 and 4060020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4060037) 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, 37194 + ... + 37302.

Almost surely, 24060032 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 4060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497800).

4060032 is an abundant number, since it is smaller than the sum of its proper divisors (6935568).

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

4060032 is a wasteful number, since it uses less digits than its factorization.

4060032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4060032 is about 2014.9521086120. The cubic root of 4060032 is about 159.5302890889.

Adding to 4060032 its reverse (2300604), we get a palindrome (6360636).

The spelling of 4060032 in words is "four million, sixty thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 109 128 192 194 218 291 327 384 388 436 582 654 776 872 1164 1308 1552 1744 2328 2616 3104 3488 4656 5232 6208 6976 9312 10464 10573 12416 13952 18624 20928 21146 31719 37248 41856 42292 63438 84584 126876 169168 253752 338336 507504 676672 1015008 1353344 2030016 4060032