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120320000 = 2125447
BaseRepresentation
bin1110010101111…
…11000000000000
322101101220000022
413022333000000
5221300220000
615534513012
72660463113
oct712770000
9271356008
10120320000
1161a10219
1234365768
131bc09788
1411da057a
15a86a585
hex72bf000

120320000 has 130 divisors (see below), whose sum is σ = 307064208. Its totient is φ = 47104000.

The previous prime is 120319961. The next prime is 120320003. The reversal of 120320000 is 23021.

Adding to 120320000 its reverse (23021), we get a palindrome (120343021).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 120320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120320003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2559977 + ... + 2560023.

Almost surely, 2120320000 is an apocalyptic number.

120320000 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 120320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153532104).

120320000 is an abundant number, since it is smaller than the sum of its proper divisors (186744208).

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

120320000 is an frugal number, since it uses more digits than its factorization.

120320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 120320000 is about 10969.0473606417. The cubic root of 120320000 is about 493.6804634221.

The spelling of 120320000 in words is "one hundred twenty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 256 320 376 400 470 500 512 625 640 752 800 940 1000 1024 1175 1250 1280 1504 1600 1880 2000 2048 2350 2500 2560 3008 3200 3760 4000 4096 4700 5000 5120 5875 6016 6400 7520 8000 9400 10000 10240 11750 12032 12800 15040 16000 18800 20000 20480 23500 24064 25600 29375 30080 32000 37600 40000 47000 48128 51200 58750 60160 64000 75200 80000 94000 96256 102400 117500 120320 128000 150400 160000 188000 192512 235000 240640 256000 300800 320000 376000 470000 481280 512000 601600 640000 752000 940000 962560 1203200 1280000 1504000 1880000 2406400 2560000 3008000 3760000 4812800 6016000 7520000 12032000 15040000 24064000 30080000 60160000 120320000