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30268860 = 22351313851
BaseRepresentation
bin111001101110…
…1110110111100
32002221211001220
41303131312330
530222100420
63000433340
7515165256
oct163356674
962854056
1030268860
11160a4496
12a178850
13636a48b
14403ccd6
1529cd840
hex1cdddbc

30268860 has 48 divisors (see below), whose sum is σ = 85421952. Its totient is φ = 8008000.

The previous prime is 30268859. The next prime is 30268867. The reversal of 30268860 is 6886203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30268867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5935 + ... + 9785.

It is an arithmetic number, because the mean of its divisors is an integer number (1779624).

Almost surely, 230268860 is an apocalyptic number.

30268860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30268860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42710976).

30268860 is an abundant number, since it is smaller than the sum of its proper divisors (55153092).

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

30268860 is a wasteful number, since it uses less digits than its factorization.

30268860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 30268860 is about 5501.7142782954. The cubic root of 30268860 is about 311.6487252994.

The spelling of 30268860 in words is "thirty million, two hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3851 3930 7702 7860 11553 15404 19255 23106 38510 46212 57765 77020 115530 231060 504481 1008962 1513443 2017924 2522405 3026886 5044810 6053772 7567215 10089620 15134430 30268860