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11944820 = 2252321129
BaseRepresentation
bin101101100100…
…001101110100
3211110212012202
4231210031310
511024213240
61104004032
7203346356
oct55441564
924425182
1011944820
116819358
124000618
132622b54
14182d0d6
1510ae315
hexb64374

11944820 has 36 divisors (see below), whose sum is σ = 26245380. Its totient is φ = 4566144.

The previous prime is 11944819. The next prime is 11944847. The reversal of 11944820 is 2844911.

11944820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2446096 + 9498724 = 1564^2 + 3082^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10016 + ... + 11144.

Almost surely, 211944820 is an apocalyptic number.

11944820 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 11944820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122690).

11944820 is an abundant number, since it is smaller than the sum of its proper divisors (14300560).

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

11944820 is a wasteful number, since it uses less digits than its factorization.

11944820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 11944820 is about 3456.1278911522. The cubic root of 11944820 is about 228.5913907417.

Subtracting from 11944820 its reverse (2844911), we obtain a palindrome (9099909).

The spelling of 11944820 in words is "eleven million, nine hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 1129 2116 2258 2645 4516 5290 5645 10580 11290 22580 25967 51934 103868 129835 259670 519340 597241 1194482 2388964 2986205 5972410 11944820