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30132704 = 2571741193
BaseRepresentation
bin111001011110…
…0100111100000
32002200220022002
41302330213200
530203221304
62553503132
7514060310
oct162744740
962626262
1030132704
1116011168
12a111aa8
136320504
144005440
1529a331e
hex1cbc9e0

30132704 has 96 divisors (see below), whose sum is σ = 73918656. Its totient is φ = 11796480.

The previous prime is 30132703. The next prime is 30132709. The reversal of 30132704 is 40723103.

30132704 is nontrivially palindromic in base 3.

30132704 is an undulating number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132701) 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 15 ways as a sum of consecutive naturals, for example, 156032 + ... + 156224.

It is an arithmetic number, because the mean of its divisors is an integer number (769986).

Almost surely, 230132704 is an apocalyptic number.

30132704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36959328).

30132704 is an abundant number, since it is smaller than the sum of its proper divisors (43785952).

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

30132704 is a wasteful number, since it uses less digits than its factorization.

30132704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 30132704 is about 5489.3263703300. The cubic root of 30132704 is about 311.1807346823.

Adding to 30132704 its reverse (40723103), we get a palindrome (70855807).

The spelling of 30132704 in words is "thirty million, one hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 68 82 112 119 136 164 193 224 238 272 287 328 386 476 544 574 656 697 772 952 1148 1312 1351 1394 1544 1904 2296 2702 2788 3088 3281 3808 4592 4879 5404 5576 6176 6562 7913 9184 9758 10808 11152 13124 15826 19516 21616 22304 22967 26248 31652 39032 43232 45934 52496 55391 63304 78064 91868 104992 110782 126608 134521 156128 183736 221564 253216 269042 367472 443128 538084 734944 886256 941647 1076168 1772512 1883294 2152336 3766588 4304672 7533176 15066352 30132704