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11628430 = 2511611733
BaseRepresentation
bin101100010110…
…111110001110
3210212210012121
4230112332032
510434102210
61053123154
7200561062
oct54267616
923783177
1011628430
116622680
123a894ba
132541b38
141789aa2
15104a6da
hexb16f8e

11628430 has 32 divisors (see below), whose sum is σ = 23221728. Its totient is φ = 4156800.

The previous prime is 11628413. The next prime is 11628467. The reversal of 11628430 is 3482611.

It is a junction number, because it is equal to n+sod(n) for n = 11628395 and 11628404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5844 + ... + 7576.

It is an arithmetic number, because the mean of its divisors is an integer number (725679).

Almost surely, 211628430 is an apocalyptic number.

11628430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11628430 is a deficient number, since it is larger than the sum of its proper divisors (11593298).

11628430 is a wasteful number, since it uses less digits than its factorization.

11628430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 11628430 is about 3410.0483867535. The cubic root of 11628430 is about 226.5550223929. Note that the first 3 decimals are identical.

The spelling of 11628430 in words is "eleven million, six hundred twenty-eight thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 61 110 122 305 610 671 1342 1733 3355 3466 6710 8665 17330 19063 38126 95315 105713 190630 211426 528565 1057130 1162843 2325686 5814215 11628430