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11629380 = 2235727689
BaseRepresentation
bin101100010111…
…001101000100
3210212211111210
4230113031010
510434120010
61053131420
7200563620
oct54271504
923784453
1011629380
116623364
123a89b70
1325423b9
14178a180
15104ab20
hexb17344

11629380 has 48 divisors (see below), whose sum is σ = 37215360. Its totient is φ = 2658048.

The previous prime is 11629369. The next prime is 11629381. The reversal of 11629380 is 8392611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11629381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13425 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (775320).

Almost surely, 211629380 is an apocalyptic number.

11629380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11629380 is an abundant number, since it is smaller than the sum of its proper divisors (25585980).

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

11629380 is a wasteful number, since it uses less digits than its factorization.

11629380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27708 (or 27706 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11629380 is about 3410.1876781198. The cubic root of 11629380 is about 226.5611917959.

The spelling of 11629380 in words is "eleven million, six hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 27689 55378 83067 110756 138445 166134 193823 276890 332268 387646 415335 553780 581469 775292 830670 969115 1162938 1661340 1938230 2325876 2907345 3876460 5814690 11629380