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120220240 = 24571371567
BaseRepresentation
bin1110010101001…
…10101001010000
322101012211011111
413022212221100
5221234021430
615532423104
72656566220
oct712465120
9271184144
10120220240
1161952278
1234317a94
131bba324a
1411d76080
15a84ac2a
hex72a6a50

120220240 has 80 divisors (see below), whose sum is σ = 321979392. Its totient is φ = 40891392.

The previous prime is 120220237. The next prime is 120220249. The reversal of 120220240 is 42022021.

120220240 = T355 + T356 + ... + T914.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1202202402 = 28905812211315200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120220240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75937 + ... + 77503.

Almost surely, 2120220240 is an apocalyptic number.

120220240 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 120220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160989696).

120220240 is an abundant number, since it is smaller than the sum of its proper divisors (201759152).

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

120220240 is a wasteful number, since it uses less digits than its factorization.

120220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 120220240 is about 10964.4990765652. The cubic root of 120220240 is about 493.5439851957.

Adding to 120220240 its reverse (42022021), we get a palindrome (162242261).

The spelling of 120220240 in words is "one hundred twenty million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 274 280 548 560 685 959 1096 1370 1567 1918 2192 2740 3134 3836 4795 5480 6268 7672 7835 9590 10960 10969 12536 15344 15670 19180 21938 25072 31340 38360 43876 54845 62680 76720 87752 109690 125360 175504 214679 219380 429358 438760 858716 877520 1073395 1502753 1717432 2146790 3005506 3434864 4293580 6011012 7513765 8587160 12022024 15027530 17174320 24044048 30055060 60110120 120220240