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30240128 = 27317621
BaseRepresentation
bin111001101011…
…0110110000000
32002220100122202
41303112312000
530220141003
63000052332
7515015432
oct163266600
962810582
1030240128
1116084946
12a1640a8
13635a389
144032652
1529c5088
hex1cd6d80

30240128 has 32 divisors (see below), whose sum is σ = 62195520. Its totient is φ = 14630400.

The previous prime is 30240121. The next prime is 30240131. The reversal of 30240128 is 82104203.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30240121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 7778.

It is an arithmetic number, because the mean of its divisors is an integer number (1943610).

Almost surely, 230240128 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 30240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31097760).

30240128 is an abundant number, since it is smaller than the sum of its proper divisors (31955392).

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

30240128 is an equidigital number, since it uses as much as digits as its factorization.

30240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7666 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 30240128 is about 5499.1024722222. The cubic root of 30240128 is about 311.5500856867.

The spelling of 30240128 in words is "thirty million, two hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 7621 15242 30484 60968 121936 236251 243872 472502 487744 945004 975488 1890008 3780016 7560032 15120064 30240128