Search a number
-
+
11890120 = 2351161443
BaseRepresentation
bin101101010110…
…110111001000
3211101002011211
4231112313020
511020440440
61102502504
7203031034
oct55266710
924332154
1011890120
116791250
123b94a34
132603c98
1418171c4
15109ceea
hexb56dc8

11890120 has 64 divisors (see below), whose sum is σ = 29730240. Its totient is φ = 4243200.

The previous prime is 11890091. The next prime is 11890127. The reversal of 11890120 is 2109811.

It is a super-2 number, since 2×118901202 = 282749907228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11890091 and 11890100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11890127) 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, 26619 + ... + 27061.

It is an arithmetic number, because the mean of its divisors is an integer number (464535).

Almost surely, 211890120 is an apocalyptic number.

11890120 is a gapful number since it is divisible by the number (10) 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 11890120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865120).

11890120 is an abundant number, since it is smaller than the sum of its proper divisors (17840120).

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

11890120 is a wasteful number, since it uses less digits than its factorization.

11890120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 11890120 is about 3448.2053303131. The cubic root of 11890120 is about 228.2419202989.

Adding to 11890120 its reverse (2109811), we get a palindrome (13999931).

The spelling of 11890120 in words is "eleven million, eight hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 443 488 610 671 886 1220 1342 1772 2215 2440 2684 3355 3544 4430 4873 5368 6710 8860 9746 13420 17720 19492 24365 26840 27023 38984 48730 54046 97460 108092 135115 194920 216184 270230 297253 540460 594506 1080920 1189012 1486265 2378024 2972530 5945060 11890120