Search a number
-
+
11117020 = 2253783181
BaseRepresentation
bin101010011010…
…000111011100
3202220210200111
4222122013130
510321221040
61034135404
7163331065
oct52320734
922823614
1011117020
116303422
123881564
1323c3125
14169556c
15e98dea
hexa9a1dc

11117020 has 48 divisors (see below), whose sum is σ = 24399648. Its totient is φ = 4250880.

The previous prime is 11117011. The next prime is 11117021. The reversal of 11117020 is 2071111.

11117020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11117021) 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, 61330 + ... + 61510.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 211117020 is an apocalyptic number.

11117020 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 11117020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199824).

11117020 is an abundant number, since it is smaller than the sum of its proper divisors (13282628).

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

11117020 is a wasteful number, since it uses less digits than its factorization.

11117020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 11117020 is about 3334.2195488600. The cubic root of 11117020 is about 223.1838657334.

Adding to 11117020 its reverse (2071111), we get a palindrome (13188131).

The spelling of 11117020 in words is "eleven million, one hundred seventeen thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 181 185 332 362 370 415 724 740 830 905 1660 1810 3071 3620 6142 6697 12284 13394 15023 15355 26788 30046 30710 33485 60092 61420 66970 75115 133940 150230 300460 555851 1111702 2223404 2779255 5558510 11117020