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30066036 = 223711132503
BaseRepresentation
bin111001010110…
…0010101110100
32002120111211220
41302230111310
530144103121
62552230340
7513362040
oct162542564
962514756
1030066036
1115a76070
12a09b3b0
1362c9070
143dc9020
15298d6c6
hex1cac574

30066036 has 96 divisors (see below), whose sum is σ = 94230528. Its totient is φ = 7205760.

The previous prime is 30066031. The next prime is 30066053. The reversal of 30066036 is 63066003.

It is a junction number, because it is equal to n+sod(n) for n = 30065997 and 30066015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30066031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10761 + ... + 13263.

It is an arithmetic number, because the mean of its divisors is an integer number (981568).

Almost surely, 230066036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30066036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47115264).

30066036 is an abundant number, since it is smaller than the sum of its proper divisors (64164492).

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

30066036 is a wasteful number, since it uses less digits than its factorization.

30066036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 30066036 is about 5483.2504958282. The cubic root of 30066036 is about 310.9510715237.

The spelling of 30066036 in words is "thirty million, sixty-six thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 2503 3003 4004 5006 6006 7509 10012 12012 15018 17521 27533 30036 32539 35042 52563 55066 65078 70084 82599 97617 105126 110132 130156 165198 192731 195234 210252 227773 330396 357929 385462 390468 455546 578193 683319 715858 770924 911092 1073787 1156386 1366638 1431716 2147574 2312772 2505503 2733276 4295148 5011006 7516509 10022012 15033018 30066036