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18633930 = 235789997
BaseRepresentation
bin100011100010…
…1010011001010
31022001200221120
41013011103022
514232241210
61503220110
7314246220
oct107052312
938050846
1018633930
11a577a47
1262a7636
133b256c3
142690b10
151981270
hex11c54ca

18633930 has 64 divisors (see below), whose sum is σ = 51736320. Its totient is φ = 4207104.

The previous prime is 18633929. The next prime is 18633931. The reversal of 18633930 is 3933681.

It is an interprime number because it is at equal distance from previous prime (18633929) and next prime (18633931).

It is a junction number, because it is equal to n+sod(n) for n = 18633891 and 18633900.

It is not an unprimeable number, because it can be changed into a prime (18633931) 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 31 ways as a sum of consecutive naturals, for example, 18192 + ... + 19188.

It is an arithmetic number, because the mean of its divisors is an integer number (808380).

Almost surely, 218633930 is an apocalyptic number.

18633930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18633930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25868160).

18633930 is an abundant number, since it is smaller than the sum of its proper divisors (33102390).

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

18633930 is a wasteful number, since it uses less digits than its factorization.

18633930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 18633930 is about 4316.7036034456. The cubic root of 18633930 is about 265.1153170833.

The spelling of 18633930 in words is "eighteen million, six hundred thirty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 890 997 1246 1335 1869 1994 2670 2991 3115 3738 4985 5982 6230 6979 9345 9970 13958 14955 18690 20937 29910 34895 41874 69790 88733 104685 177466 209370 266199 443665 532398 621131 887330 1242262 1330995 1863393 2661990 3105655 3726786 6211310 9316965 18633930