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11630376 = 2332163991
BaseRepresentation
bin101100010111…
…011100101000
3210212212212200
4230113130220
510434133001
61053140200
7200566542
oct54273450
923785780
1011630376
11662408a
123a8a660
1325429a4
14178a692
15104b086
hexb17728

11630376 has 48 divisors (see below), whose sum is σ = 31724160. Its totient is φ = 3849120.

The previous prime is 11630371. The next prime is 11630383. The reversal of 11630376 is 67303611.

11630376 is digitally balanced in base 2 and base 4, because in such bases 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 (11630371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11241 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (660920).

Almost surely, 211630376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11630376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15862080).

11630376 is an abundant number, since it is smaller than the sum of its proper divisors (20093784).

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

11630376 is a wasteful number, since it uses less digits than its factorization.

11630376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 11630376 is about 3410.3337080116. Note that the first 3 decimals coincide. The cubic root of 11630376 is about 226.5676595670.

Adding to 11630376 its reverse (67303611), we get a palindrome (78933987).

The spelling of 11630376 in words is "eleven million, six hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 991 1304 1467 1956 1982 2934 2973 3912 3964 5868 5946 7928 8919 11736 11892 17838 23784 35676 71352 161533 323066 484599 646132 969198 1292264 1453797 1938396 2907594 3876792 5815188 11630376