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120036220 = 22529434813
BaseRepresentation
bin1110010011110…
…01101101111100
322100212110201221
413021321231330
5221212124340
615524443124
72655201553
oct711715574
9270773657
10120036220
1161836a97
12342494a4
131bb3a565
1411d28d9a
15a81144a
hex7279b7c

120036220 has 48 divisors (see below), whose sum is σ = 266888160. Its totient is φ = 45271296.

The previous prime is 120036211. The next prime is 120036229. The reversal of 120036220 is 22630021.

It is an interprime number because it is at equal distance from previous prime (120036211) and next prime (120036229).

It is a super-2 number, since 2×1200362202 = 28817388223776800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120036194 and 120036203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120036229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22534 + ... + 27346.

It is an arithmetic number, because the mean of its divisors is an integer number (5560170).

Almost surely, 2120036220 is an apocalyptic number.

120036220 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 120036220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133444080).

120036220 is an abundant number, since it is smaller than the sum of its proper divisors (146851940).

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

120036220 is a wasteful number, since it uses less digits than its factorization.

120036220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 120036220 is about 10956.1042346265. The cubic root of 120036220 is about 493.2920355414.

Adding to 120036220 its reverse (22630021), we get a palindrome (142666241).

The spelling of 120036220 in words is "one hundred twenty million, thirty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 2494 4813 4988 6235 9626 12470 19252 24065 24940 48130 96260 139577 206959 279154 413918 558308 697885 827836 1034795 1395770 2069590 2791540 4139180 6001811 12003622 24007244 30009055 60018110 120036220