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30230820 = 2234518661
BaseRepresentation
bin111001101010…
…0100100100100
32002212212220000
41303110210210
530214341240
62555541300
7514646334
oct163244444
962785800
1030230820
1116078954
12a15a830
136356079
14402d0c4
1529c2430
hex1cd4924

30230820 has 60 divisors (see below), whose sum is σ = 94840284. Its totient is φ = 8061120.

The previous prime is 30230819. The next prime is 30230839. The reversal of 30230820 is 2803203.

It can be written as a sum of positive squares in 2 ways, for example, as 6260004 + 23970816 = 2502^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30230793 and 30230802.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7711 + ... + 10950.

Almost surely, 230230820 is an apocalyptic number.

30230820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30230820 is an abundant number, since it is smaller than the sum of its proper divisors (64609464).

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

30230820 is a wasteful number, since it uses less digits than its factorization.

30230820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18682 (or 18671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30230820 is about 5498.2560871607. The cubic root of 30230820 is about 311.5181170634.

The spelling of 30230820 in words is "thirty million, two hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 18661 37322 55983 74644 93305 111966 167949 186610 223932 279915 335898 373220 503847 559830 671796 839745 1007694 1119660 1511541 1679490 2015388 2519235 3023082 3358980 5038470 6046164 7557705 10076940 15115410 30230820