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30006096 = 2434179193
BaseRepresentation
bin111001001110…
…1101101010000
32002110110121220
41302131231100
530140143341
62551045040
7513022221
oct162355520
962413556
1030006096
1115a3502a
12a070780
1362a79b3
143db1248
15297aa66
hex1c9db50

30006096 has 80 divisors (see below), whose sum is σ = 80828160. Its totient is φ = 9584640.

The previous prime is 30006061. The next prime is 30006103. The reversal of 30006096 is 69060003.

It is a super-2 number, since 2×300060962 = 1800731594322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 155376 + ... + 155568.

It is an arithmetic number, because the mean of its divisors is an integer number (1010352).

Almost surely, 230006096 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 30006096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40414080).

30006096 is an abundant number, since it is smaller than the sum of its proper divisors (50822064).

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

30006096 is a wasteful number, since it uses less digits than its factorization.

30006096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 30006096 is about 5477.7820329035. The cubic root of 30006096 is about 310.7442954915.

Adding to 30006096 its reverse (69060003), we get a palindrome (99066099).

The spelling of 30006096 in words is "thirty million, six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 79 82 123 158 164 193 237 246 316 328 386 474 492 579 632 656 772 948 984 1158 1264 1544 1896 1968 2316 3088 3239 3792 4632 6478 7913 9264 9717 12956 15247 15826 19434 23739 25912 30494 31652 38868 45741 47478 51824 60988 63304 77736 91482 94956 121976 126608 155472 182964 189912 243952 365928 379824 625127 731856 1250254 1875381 2500508 3750762 5001016 7501524 10002032 15003048 30006096