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120482208 = 25337111811
BaseRepresentation
bin1110010111001…
…10100110100000
322101201010112000
413023212212200
5221320412313
615542204000
72662040040
oct713464640
9271633460
10120482208
1162011080
1234423600
131bc65562
1412003720
15a89d673
hex72e69a0

120482208 has 192 divisors, whose sum is σ = 438359040. Its totient is φ = 31276800.

The previous prime is 120482191. The next prime is 120482209. The reversal of 120482208 is 802284021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120482209) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 65623 + ... + 67433.

It is an arithmetic number, because the mean of its divisors is an integer number (2283120).

Almost surely, 2120482208 is an apocalyptic number.

120482208 is a gapful number since it is divisible by the number (18) 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 120482208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219179520).

120482208 is an abundant number, since it is smaller than the sum of its proper divisors (317876832).

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

120482208 is a wasteful number, since it uses less digits than its factorization.

120482208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120482208 is about 10976.4387667403. The cubic root of 120482208 is about 493.9022136485.

The spelling of 120482208 in words is "one hundred twenty million, four hundred eighty-two thousand, two hundred eight".