Search a number
-
+
120764420 = 22572123229
BaseRepresentation
bin1110011001010…
…11100000000100
322102020110122022
413030223200010
5221403430140
615552222312
72664323600
oct714534004
9272213568
10120764420
1162194107
123453a998
131c033b4a
1412078500
15a9070b5
hex732b804

120764420 has 36 divisors (see below), whose sum is σ = 295012620. Its totient is φ = 41404608.

The previous prime is 120764417. The next prime is 120764429. The reversal of 120764420 is 24467021.

It can be written as a sum of positive squares in 2 ways, for example, as 88774084 + 31990336 = 9422^2 + 5656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 120764420.

It is not an unprimeable number, because it can be changed into a prime (120764429) 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 11 ways as a sum of consecutive naturals, for example, 60635 + ... + 62594.

It is an arithmetic number, because the mean of its divisors is an integer number (8194795).

Almost surely, 2120764420 is an apocalyptic number.

120764420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120764420 is an abundant number, since it is smaller than the sum of its proper divisors (174248200).

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

120764420 is a wasteful number, since it uses less digits than its factorization.

120764420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123252 (or 123243 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 120764420 is about 10989.2866010492. The cubic root of 120764420 is about 494.2875442448.

The spelling of 120764420 in words is "one hundred twenty million, seven hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 123229 246458 492916 616145 862603 1232290 1725206 2464580 3450412 4313015 6038221 8626030 12076442 17252060 24152884 30191105 60382210 120764420