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30126768 = 2437212809
BaseRepresentation
bin111001011101…
…1001010110000
32002200121011020
41302323022300
530203024033
62553415440
7514034100
oct162731260
962617136
1030126768
1116007761
12a10a580
13631a8b9
144003200
1529a16b3
hex1cbb2b0

30126768 has 60 divisors (see below), whose sum is σ = 90541080. Its totient is φ = 8606976.

The previous prime is 30126763. The next prime is 30126773. The reversal of 30126768 is 86762103.

It is an interprime number because it is at equal distance from previous prime (30126763) and next prime (30126773).

It is not an unprimeable number, because it can be changed into a prime (30126763) 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 11 ways as a sum of consecutive naturals, for example, 4053 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (1509018).

Almost surely, 230126768 is an apocalyptic number.

It is an amenable number.

30126768 is an abundant number, since it is smaller than the sum of its proper divisors (60414312).

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

30126768 is a wasteful number, since it uses less digits than its factorization.

30126768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12821 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 30126768 is about 5488.7856580486. The cubic root of 30126768 is about 311.1602996300.

The spelling of 30126768 in words is "thirty million, one hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 12809 25618 38427 51236 76854 89663 102472 153708 179326 204944 268989 307416 358652 537978 614832 627641 717304 1075956 1255282 1434608 1882923 2151912 2510564 3765846 4303824 5021128 7531692 10042256 15063384 30126768