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120033340 = 22572532311
BaseRepresentation
bin1110010011110…
…01000000111100
322100212022210021
413021321000330
5221212031330
615524421524
72655160300
oct711710074
9270768707
10120033340
1161834909
12342478a4
131bb3915b
1411d27d00
15a81067a
hex727903c

120033340 has 72 divisors (see below), whose sum is σ = 298886112. Its totient is φ = 40360320.

The previous prime is 120033337. The next prime is 120033359. The reversal of 120033340 is 43330021.

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, 50785 + ... + 53095.

It is an arithmetic number, because the mean of its divisors is an integer number (4151196).

Almost surely, 2120033340 is an apocalyptic number.

120033340 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 120033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149443056).

120033340 is an abundant number, since it is smaller than the sum of its proper divisors (178852772).

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

120033340 is a wasteful number, since it uses less digits than its factorization.

120033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 120033340 is about 10955.9728002583. The cubic root of 120033340 is about 493.2880903644.

Adding to 120033340 its reverse (43330021), we get a palindrome (163363361).

The spelling of 120033340 in words is "one hundred twenty million, thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2311 2597 3710 4622 5194 7420 9244 10388 11555 12985 16177 23110 25970 32354 46220 51940 64708 80885 113239 122483 161770 226478 244966 323540 452956 489932 566195 612415 857381 1132390 1224830 1714762 2264780 2449660 3429524 4286905 6001667 8573810 12003334 17147620 24006668 30008335 60016670 120033340