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30198512 = 2429371759
BaseRepresentation
bin111001100110…
…0101011110000
32002211020120102
41303030223300
530212323022
62555131532
7514453211
oct163145360
962736512
1030198512
1116056653
12a143ba8
136344456
144021408
1529b7a92
hex1cccaf0

30198512 has 40 divisors (see below), whose sum is σ = 62198400. Its totient is φ = 14176512.

The previous prime is 30198481. The next prime is 30198523. The reversal of 30198512 is 21589103.

30198512 = T103 + T104 + ... + T566.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 7 ways as a sum of consecutive naturals, for example, 16289 + ... + 18047.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960).

Almost surely, 230198512 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 30198512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31099200).

30198512 is an abundant number, since it is smaller than the sum of its proper divisors (31999888).

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

30198512 is a wasteful number, since it uses less digits than its factorization.

30198512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 30198512 is about 5495.3172792842. The cubic root of 30198512 is about 311.4071032612.

The spelling of 30198512 in words is "thirty million, one hundred ninety-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 1759 2146 3518 4292 7036 8584 14072 17168 28144 51011 65083 102022 130166 204044 260332 408088 520664 816176 1041328 1887407 3774814 7549628 15099256 30198512