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30066040 = 2352925919
BaseRepresentation
bin111001010110…
…0010101111000
32002120111212001
41302230111320
530144103130
62552230344
7513362044
oct162542570
962514761
1030066040
1115a76074
12a09b3b4
1362c9074
143dc9024
15298d6ca
hex1cac578

30066040 has 32 divisors (see below), whose sum is σ = 69984000. Its totient is φ = 11611264.

The previous prime is 30066031. The next prime is 30066053. The reversal of 30066040 is 4066003.

It is a happy number.

It is a super-2 number, since 2×300660402 = 1807933522563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30065999 and 30066017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11800 + ... + 14119.

It is an arithmetic number, because the mean of its divisors is an integer number (2187000).

Almost surely, 230066040 is an apocalyptic number.

It is an amenable number.

30066040 is an abundant number, since it is smaller than the sum of its proper divisors (39917960).

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

30066040 is a wasteful number, since it uses less digits than its factorization.

30066040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25959 (or 25955 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 30066040 is about 5483.2508605753. The cubic root of 30066040 is about 310.9510853134.

It can be divided in two parts, 300660 and 40, that added together give a triangular number (300700 = T775).

The spelling of 30066040 in words is "thirty million, sixty-six thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 25919 51838 103676 129595 207352 259190 518380 751651 1036760 1503302 3006604 3758255 6013208 7516510 15033020 30066040