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120030000 = 243544001
BaseRepresentation
bin1110010011110…
…00001100110000
322100212011012120
413021320030300
5221211430000
615524354240
72655144456
oct711701460
9270764176
10120030000
1161832352
1234245980
131bb3778c
1411d269d6
15a80e6a0
hex7278330

120030000 has 100 divisors (see below), whose sum is σ = 387569688. Its totient is φ = 32000000.

The previous prime is 120029977. The next prime is 120030007. The reversal of 120030000 is 30021.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (120030007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28000 + ... + 32000.

Almost surely, 2120030000 is an apocalyptic number.

120030000 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 120030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193784844).

120030000 is an abundant number, since it is smaller than the sum of its proper divisors (267539688).

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

120030000 is an equidigital number, since it uses as much as digits as its factorization.

120030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 120030000 is about 10955.8203709261. The cubic root of 120030000 is about 493.2835149758.

Adding to 120030000 its reverse (30021), we get a palindrome (120060021).

It can be divided in two parts, 1200 and 30000, that multiplied together give a square (36000000 = 60002).

The spelling of 120030000 in words is "one hundred twenty million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 4001 5000 6000 7500 8002 10000 12003 15000 16004 20005 24006 30000 32008 40010 48012 60015 64016 80020 96024 100025 120030 160040 192048 200050 240060 300075 320080 400100 480120 500125 600150 800200 960240 1000250 1200300 1500375 1600400 2000500 2400600 2500625 3000750 4001000 4801200 5001250 6001500 7501875 8002000 10002500 12003000 15003750 20005000 24006000 30007500 40010000 60015000 120030000