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30027672 = 2334149311
BaseRepresentation
bin111001010001…
…0111110011000
32002111120020000
41302202332120
530141341142
62551333000
7513142143
oct162427630
962446200
1030027672
1115a4a264
12a081160
1362b476c
143db905a
15298214c
hex1ca2f98

30027672 has 80 divisors (see below), whose sum is σ = 84942000. Its totient is φ = 9910080.

The previous prime is 30027659. The next prime is 30027713. The reversal of 30027672 is 27672003.

It is a super-2 number, since 2×300276722 = 1803322171479168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 96397 + ... + 96707.

It is an arithmetic number, because the mean of its divisors is an integer number (1061775).

Almost surely, 230027672 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 30027672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42471000).

30027672 is an abundant number, since it is smaller than the sum of its proper divisors (54914328).

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

30027672 is a wasteful number, since it uses less digits than its factorization.

30027672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 30027672 is about 5479.7510892375. The cubic root of 30027672 is about 310.8187582781.

Adding to 30027672 its reverse (27672003), we get a palindrome (57699675).

It can be divided in two parts, 300 and 27672, that added together give a palindrome (27972).

The spelling of 30027672 in words is "thirty million, twenty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 298 311 324 447 596 622 648 894 933 1192 1244 1341 1788 1866 2488 2682 2799 3576 3732 4023 5364 5598 7464 8046 8397 10728 11196 12069 16092 16794 22392 24138 25191 32184 33588 46339 48276 50382 67176 92678 96552 100764 139017 185356 201528 278034 370712 417051 556068 834102 1112136 1251153 1668204 2502306 3336408 3753459 5004612 7506918 10009224 15013836 30027672