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11148920 = 2351671669
BaseRepresentation
bin101010100001…
…111001111000
3202222102102222
4222201321320
510323231140
61034543212
7163523066
oct52417170
922872388
1011148920
116325392
123897b08
1324047c3
1416a3036
15ea35b5
hexaa1e78

11148920 has 32 divisors (see below), whose sum is σ = 25250400. Its totient is φ = 4430208.

The previous prime is 11148899. The next prime is 11148947. The reversal of 11148920 is 2984111.

11148920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 33392-1.

It is a self number, because there is not a number n which added to its sum of digits gives 11148920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5846 + ... + 7514.

It is an arithmetic number, because the mean of its divisors is an integer number (789075).

Almost surely, 211148920 is an apocalyptic number.

11148920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11148920 is an abundant number, since it is smaller than the sum of its proper divisors (14101480).

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

11148920 is a wasteful number, since it uses less digits than its factorization.

11148920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 11148920 is about 3338.9998502546. Note that the first 3 decimals coincide. The cubic root of 11148920 is about 223.3971353071.

The spelling of 11148920 in words is "eleven million, one hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1669 1670 3338 3340 6676 6680 8345 13352 16690 33380 66760 278723 557446 1114892 1393615 2229784 2787230 5574460 11148920