Search a number
-
+
4020432 = 2431317379
BaseRepresentation
bin1111010101100011010000
321120020222220
433111203100
52012123212
6222101040
746113243
oct17254320
97506886
104020432
1122a6679
12141a780
13aa9c70
1476925a
1554638c
hex3d58d0

4020432 has 80 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1161216.

The previous prime is 4020431. The next prime is 4020433. The reversal of 4020432 is 2340204.

It is a happy number.

4020432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4020431) and next prime (4020433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10419 + ... + 10797.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 24020432 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 4020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4020432 is an abundant number, since it is smaller than the sum of its proper divisors (7853808).

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

4020432 is a wasteful number, since it uses less digits than its factorization.

4020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4020432 is about 2005.1014936905. The cubic root of 4020432 is about 159.0099277848.

Adding to 4020432 its reverse (2340204), we get a palindrome (6360636).

The spelling of 4020432 in words is "four million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 379 408 442 624 663 758 816 884 1137 1326 1516 1768 2274 2652 3032 3536 4548 4927 5304 6064 6443 9096 9854 10608 12886 14781 18192 19329 19708 25772 29562 38658 39416 51544 59124 77316 78832 83759 103088 118248 154632 167518 236496 251277 309264 335036 502554 670072 1005108 1340144 2010216 4020432