Search a number
-
+
4024140 = 2235471427
BaseRepresentation
bin1111010110011101001100
321120110002020
433112131030
52012233030
6222130140
746130121
oct17263514
97513066
104024140
1122a943a
121420950
13aab863
1476a748
15547510
hex3d674c

4024140 has 48 divisors (see below), whose sum is σ = 11515392. Its totient is φ = 1049536.

The previous prime is 4024133. The next prime is 4024147. The reversal of 4024140 is 414204.

It is an interprime number because it is at equal distance from previous prime (4024133) and next prime (4024147).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4024147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2107 + ... + 3533.

It is an arithmetic number, because the mean of its divisors is an integer number (239904).

Almost surely, 24024140 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 4024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757696).

4024140 is an abundant number, since it is smaller than the sum of its proper divisors (7491252).

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

4024140 is a wasteful number, since it uses less digits than its factorization.

4024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4024140 is about 2006.0259220658. The cubic root of 4024140 is about 159.0587971304.

Adding to 4024140 its reverse (414204), we get a palindrome (4438344).

The spelling of 4024140 in words is "four million, twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 1427 2820 2854 4281 5708 7135 8562 14270 17124 21405 28540 42810 67069 85620 134138 201207 268276 335345 402414 670690 804828 1006035 1341380 2012070 4024140