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120300000 = 25355401
BaseRepresentation
bin1110010101110…
…10000111100000
322101100212120120
413022322013200
5221244100000
615534240240
72660350602
oct712720740
9271325516
10120300000
11619a7197
1234356080
131bc00642
1411d97172
15a8646a0
hex72ba1e0

120300000 has 144 divisors (see below), whose sum is σ = 395693424. Its totient is φ = 32000000.

The previous prime is 120299999. The next prime is 120300127. The reversal of 120300000 is 3021.

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 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 23 ways as a sum of consecutive naturals, for example, 299800 + ... + 300200.

It is an arithmetic number, because the mean of its divisors is an integer number (2747871).

Almost surely, 2120300000 is an apocalyptic number.

120300000 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 120300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197846712).

120300000 is an abundant number, since it is smaller than the sum of its proper divisors (275393424).

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

120300000 is an frugal number, since it uses more digits than its factorization.

120300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

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

The square root of 120300000 is about 10968.1356665570. The cubic root of 120300000 is about 493.6531081573.

Adding to 120300000 its reverse (3021), we get a palindrome (120303021).

It can be divided in two parts, 120 and 300000, that multiplied together give a square (36000000 = 60002).

The spelling of 120300000 in words is "one hundred twenty million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 401 480 500 600 625 750 800 802 1000 1200 1203 1250 1500 1604 1875 2000 2005 2400 2406 2500 3000 3125 3208 3750 4000 4010 4812 5000 6000 6015 6250 6416 7500 8020 9375 9624 10000 10025 12000 12030 12500 12832 15000 16040 18750 19248 20000 20050 24060 25000 30000 30075 32080 37500 38496 40100 48120 50000 50125 60000 60150 64160 75000 80200 96240 100000 100250 120300 150000 150375 160400 192480 200500 240600 250625 300000 300750 320800 401000 481200 501250 601500 751875 802000 962400 1002500 1203000 1253125 1503750 1604000 2005000 2406000 2506250 3007500 3759375 4010000 4812000 5012500 6015000 7518750 8020000 10025000 12030000 15037500 20050000 24060000 30075000 40100000 60150000 120300000