Search a number
-
+
4134452120 = 235717611913
BaseRepresentation
bin1111011001101110…
…1011101110011000
3101200010200221002022
43312123223232120
531431404431440
61522131354012
7204312156161
oct36633535630
911603627068
104134452120
111831877087
12974752908
1350b738796
142b3152768
15192e82cb5
hexf66ebb98

4134452120 has 64 divisors (see below), whose sum is σ = 9450872640. Its totient is φ = 1627494400.

The previous prime is 4134452087. The next prime is 4134452129. The reversal of 4134452120 is 212544314.

It is a self number, because there is not a number n which added to its sum of digits gives 4134452120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134452129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160284 + ... + 2162196.

It is an arithmetic number, because the mean of its divisors is an integer number (147669885).

Almost surely, 24134452120 is an apocalyptic number.

4134452120 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 4134452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725436320).

4134452120 is an abundant number, since it is smaller than the sum of its proper divisors (5316420520).

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

4134452120 is a wasteful number, since it uses less digits than its factorization.

4134452120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4134452120 is about 64299.7054425602. The cubic root of 4134452120 is about 1604.9912002183.

Adding to 4134452120 its reverse (212544314), we get a palindrome (4346996434).

The spelling of 4134452120 in words is "four billion, one hundred thirty-four million, four hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 761 1420 1522 1913 2840 3044 3805 3826 6088 7610 7652 9565 15220 15304 19130 30440 38260 54031 76520 108062 135823 216124 270155 271646 432248 540310 543292 679115 1080620 1086584 1358230 1455793 2161240 2716460 2911586 5432920 5823172 7278965 11646344 14557930 29115860 58231720 103361303 206722606 413445212 516806515 826890424 1033613030 2067226060 4134452120