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120123320 = 23519179883
BaseRepresentation
bin1110010100011…
…10111110111000
322101000220012212
413022032332320
5221222421240
615530354252
72656013522
oct712167670
9271026185
10120123320
1161896479
123428b988
131bb6b0b5
1411d4ca12
15a82c165
hex728efb8

120123320 has 64 divisors (see below), whose sum is σ = 286416000. Its totient is φ = 45214848.

The previous prime is 120123299. The next prime is 120123337. The reversal of 120123320 is 23321021.

It is a happy number.

It is a super-2 number, since 2×1201233202 = 28859224015644800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120123295 and 120123304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135599 + ... + 136481.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2120123320 is an apocalyptic number.

120123320 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 120123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

120123320 is an abundant number, since it is smaller than the sum of its proper divisors (166292680).

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

120123320 is a wasteful number, since it uses less digits than its factorization.

120123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 120123320 is about 10960.0784668724. The cubic root of 120123320 is about 493.4113199494.

Adding to 120123320 its reverse (23321021), we get a palindrome (143444341).

The spelling of 120123320 in words is "one hundred twenty million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 179 190 358 380 716 760 883 895 1432 1766 1790 3401 3532 3580 4415 6802 7064 7160 8830 13604 16777 17005 17660 27208 33554 34010 35320 67108 68020 83885 134216 136040 158057 167770 316114 335540 632228 671080 790285 1264456 1580570 3003083 3161140 6006166 6322280 12012332 15015415 24024664 30030830 60061660 120123320