Search a number
-
+
4134360 = 2335131263
BaseRepresentation
bin1111110001010111011000
321210001021110
433301113120
52024244420
6224340320
750066346
oct17612730
97701243
104134360
11237422a
1214746a0
13b19a89
14798996
15569ee0
hex3f15d8

4134360 has 64 divisors (see below), whose sum is σ = 12545280. Its totient is φ = 1089920.

The previous prime is 4134341. The next prime is 4134391. The reversal of 4134360 is 634314.

It is a congruent number.

It is an unprimeable number.

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, 15589 + ... + 15851.

It is an arithmetic number, because the mean of its divisors is an integer number (196020).

Almost surely, 24134360 is an apocalyptic number.

4134360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272640).

4134360 is an abundant number, since it is smaller than the sum of its proper divisors (8410920).

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

4134360 is a wasteful number, since it uses less digits than its factorization.

4134360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4134360 is about 2033.3125682000. The cubic root of 4134360 is about 160.4979279825.

Adding to 4134360 its reverse (634314), we get a palindrome (4768674).

The spelling of 4134360 in words is "four million, one hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 263 393 524 526 655 786 789 1048 1052 1310 1315 1572 1578 1965 2104 2620 2630 3144 3156 3930 3945 5240 5260 6312 7860 7890 10520 15720 15780 31560 34453 68906 103359 137812 172265 206718 275624 344530 413436 516795 689060 826872 1033590 1378120 2067180 4134360