Search a number
-
+
120613300 = 22521770949
BaseRepresentation
bin1110011000001…
…10100110110100
322101221210100021
413030012212310
5221334111200
615545054524
72663124163
oct714064664
9271853307
10120613300
11620a0615
1234487444
131bcb0122
14120393da
15a8c741a
hex73069b4

120613300 has 36 divisors (see below), whose sum is σ = 277130700. Its totient is φ = 45406720.

The previous prime is 120613277. The next prime is 120613307. The reversal of 120613300 is 3316021.

It can be written as a sum of positive squares in 6 ways, for example, as 2108304 + 118504996 = 1452^2 + 10886^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120613307) 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 11 ways as a sum of consecutive naturals, for example, 33775 + ... + 37174.

It is an arithmetic number, because the mean of its divisors is an integer number (7698075).

Almost surely, 2120613300 is an apocalyptic number.

120613300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120613300 is an abundant number, since it is smaller than the sum of its proper divisors (156517400).

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

120613300 is a wasteful number, since it uses less digits than its factorization.

120613300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70980 (or 70973 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 120613300 is about 10982.4086611271. The cubic root of 120613300 is about 494.0812806424.

Adding to 120613300 its reverse (3316021), we get a palindrome (123929321).

The spelling of 120613300 in words is "one hundred twenty million, six hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 70949 141898 283796 354745 709490 1206133 1418980 1773725 2412266 3547450 4824532 6030665 7094900 12061330 24122660 30153325 60306650 120613300