Search a number
-
+
2134340120 = 235118595647
BaseRepresentation
bin111111100110111…
…0111001000011000
312111202010201020002
41333031313020120
513332342340440
6551442152132
7103614406643
oct17715671030
95452121202
102134340120
119a5863360
124b6952648
13280252463
14163668a5a
15c759c115
hex7f377218

2134340120 has 64 divisors (see below), whose sum is σ = 5245862400. Its totient is φ = 775082880.

The previous prime is 2134340119. The next prime is 2134340189. The reversal of 2134340120 is 210434312.

It is a super-2 number, since 2×21343401202 = 9110815495683228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2134340092 and 2134340101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375137 + ... + 380783.

It is an arithmetic number, because the mean of its divisors is an integer number (81966600).

Almost surely, 22134340120 is an apocalyptic number.

2134340120 is a gapful number since it is divisible by the number (20) 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 2134340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622931200).

2134340120 is an abundant number, since it is smaller than the sum of its proper divisors (3111522280).

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

2134340120 is a wasteful number, since it uses less digits than its factorization.

2134340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2134340120 is about 46198.9190349731. The cubic root of 2134340120 is about 1287.5216563423.

Adding to 2134340120 its reverse (210434312), we get a palindrome (2344774432).

The spelling of 2134340120 in words is "two billion, one hundred thirty-four million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 859 1718 3436 4295 5647 6872 8590 9449 11294 17180 18898 22588 28235 34360 37796 45176 47245 56470 62117 75592 94490 112940 124234 188980 225880 248468 310585 377960 496936 621170 1242340 2484680 4850773 9701546 19403092 24253865 38806184 48507730 53358503 97015460 106717006 194030920 213434012 266792515 426868024 533585030 1067170060 2134340120