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120083140 = 2256004157
BaseRepresentation
bin1110010100001…
…01001011000100
322100221212002201
413022011023010
5221220130030
615525444244
72655455422
oct712051304
9270855081
10120083140
1161869271
1234270684
131bb55a18
1411d3c112
15a8202ca
hex72852c4

120083140 has 12 divisors (see below), whose sum is σ = 252174636. Its totient is φ = 48033248.

The previous prime is 120083129. The next prime is 120083141. The reversal of 120083140 is 41380021.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 101969604 = 4256^2 + 10098^2 .

It is not an unprimeable number, because it can be changed into a prime (120083141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3002059 + ... + 3002098.

It is an arithmetic number, because the mean of its divisors is an integer number (21014553).

Almost surely, 2120083140 is an apocalyptic number.

120083140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120083140 is an abundant number, since it is smaller than the sum of its proper divisors (132091496).

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

120083140 is a wasteful number, since it uses less digits than its factorization.

120083140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004166 (or 6004164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 120083140 is about 10958.2452974917. The cubic root of 120083140 is about 493.3563001644.

The spelling of 120083140 in words is "one hundred twenty million, eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6004157 12008314 24016628 30020785 60041570 120083140