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30066993 = 32113197101
BaseRepresentation
bin111001010110…
…0100100110001
32002120120011100
41302230210301
530144120433
62552235013
7513364605
oct162544461
962516140
1030066993
1115a76860
12a09ba69
1362c9628
143dc9505
15298db13
hex1cac931

30066993 has 48 divisors (see below), whose sum is σ = 49900032. Its totient is φ = 17280000.

The previous prime is 30066983. The next prime is 30067043. The reversal of 30066993 is 39966003.

It is not a de Polignac number, because 30066993 - 29 = 30066481 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30066943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297643 + ... + 297743.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 230066993 is an apocalyptic number.

30066993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

30066993 is a deficient number, since it is larger than the sum of its proper divisors (19833039).

30066993 is a wasteful number, since it uses less digits than its factorization.

30066993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 30066993 is about 5483.3377608898. The cubic root of 30066993 is about 310.9543706729.

It can be divided in two parts, 3006 and 6993, that added together give a palindrome (9999).

The spelling of 30066993 in words is "thirty million, sixty-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 11 31 33 93 97 99 101 279 291 303 341 873 909 1023 1067 1111 3007 3069 3131 3201 3333 9021 9393 9603 9797 9999 27063 28179 29391 33077 34441 88173 99231 103323 107767 297693 303707 309969 323301 911121 969903 2733363 3340777 10022331 30066993