Search a number
-
+
20114120 = 2351347823
BaseRepresentation
bin100110010111…
…0101011001000
31101211220101102
41030232223020
520122122440
61555040532
7332652515
oct114565310
941756342
1020114120
1110399044
1268a0148
134223360
14295830c
151b74b15
hex132eac8

20114120 has 64 divisors (see below), whose sum is σ = 49835520. Its totient is φ = 7259904.

The previous prime is 20114099. The next prime is 20114123. The reversal of 20114120 is 2141102.

It is not an unprimeable number, because it can be changed into a prime (20114123) 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, 24029 + ... + 24851.

It is an arithmetic number, because the mean of its divisors is an integer number (778680).

Almost surely, 220114120 is an apocalyptic number.

20114120 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 20114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24917760).

20114120 is an abundant number, since it is smaller than the sum of its proper divisors (29721400).

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

20114120 is a wasteful number, since it uses less digits than its factorization.

20114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 20114120 is about 4484.8768099024. The cubic root of 20114120 is about 271.9570650224.

Adding to 20114120 its reverse (2141102), we get a palindrome (22255222).

The spelling of 20114120 in words is "twenty million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 823 940 1222 1646 1880 2444 3055 3292 4115 4888 6110 6584 8230 10699 12220 16460 21398 24440 32920 38681 42796 53495 77362 85592 106990 154724 193405 213980 309448 386810 427960 502853 773620 1005706 1547240 2011412 2514265 4022824 5028530 10057060 20114120