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120030300 = 2232521310259
BaseRepresentation
bin1110010011110…
…00010001011100
322100212011121200
413021320101130
5221211432200
615524355500
72655145365
oct711702134
9270764550
10120030300
11618325a5
1234245b90
131bb37960
1411d26b6c
15a80e800
hex727845c

120030300 has 108 divisors (see below), whose sum is σ = 405208440. Its totient is φ = 29543040.

The previous prime is 120030293. The next prime is 120030349. The reversal of 120030300 is 3030021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 6571 + ... + 16829.

It is an arithmetic number, because the mean of its divisors is an integer number (3751930).

Almost surely, 2120030300 is an apocalyptic number.

120030300 is a gapful number since it is divisible by the number (10) 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 120030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).

120030300 is an abundant number, since it is smaller than the sum of its proper divisors (285178140).

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

120030300 is a wasteful number, since it uses less digits than its factorization.

120030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10292 (or 10282 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 120030300 is about 10955.8340622702. The cubic root of 120030300 is about 493.2839259424.

Adding to 120030300 its reverse (3030021), we get a palindrome (123060321).

The spelling of 120030300 in words is "one hundred twenty million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 10259 11700 20518 30777 41036 51295 61554 92331 102590 123108 133367 153885 184662 205180 256475 266734 307770 369324 400101 461655 512950 533468 615540 666835 769425 800202 923310 1025900 1200303 1333670 1538850 1600404 1846620 2000505 2308275 2400606 2667340 3077700 3334175 4001010 4616550 4801212 6001515 6668350 8002020 9233100 10002525 12003030 13336700 20005050 24006060 30007575 40010100 60015150 120030300