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30122784 = 2532104593
BaseRepresentation
bin111001011101…
…0001100100000
32002200101200200
41302322030200
530202412114
62553345200
7514016346
oct162721440
962611620
1030122784
111600476a
12a108200
136318b43
144001996
1529a0409
hex1cba320

30122784 has 36 divisors (see below), whose sum is σ = 85662486. Its totient is φ = 10040832.

The previous prime is 30122783. The next prime is 30122789. The reversal of 30122784 is 48722103.

It can be written as a sum of positive squares in only one way, i.e., 26010000 + 4112784 = 5100^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30122783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52009 + ... + 52584.

Almost surely, 230122784 is an apocalyptic number.

It is an amenable number.

30122784 is an abundant number, since it is smaller than the sum of its proper divisors (55539702).

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

30122784 is a wasteful number, since it uses less digits than its factorization.

30122784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104609 (or 104598 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 30122784 is about 5488.4227242442. The cubic root of 30122784 is about 311.1465829547.

Adding to 30122784 its reverse (48722103), we get a palindrome (78844887).

The spelling of 30122784 in words is "thirty million, one hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 104593 209186 313779 418372 627558 836744 941337 1255116 1673488 1882674 2510232 3346976 3765348 5020464 7530696 10040928 15061392 30122784