Search a number
-
+
120500500 = 2253401601
BaseRepresentation
bin1110010111010…
…11000100010100
322101202001121111
413023223010110
5221322004000
615542424404
72662144261
oct713530424
9271661544
10120500500
116202389a
1234432104
131bc70993
141200a268
15a8a3cba
hex72eb114

120500500 has 48 divisors (see below), whose sum is σ = 264268368. Its totient is φ = 48000000.

The previous prime is 120500467. The next prime is 120500507. The reversal of 120500500 is 5005021.

It can be written as a sum of positive squares in 8 ways, for example, as 685584 + 119814916 = 828^2 + 10946^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120500507) 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 15 ways as a sum of consecutive naturals, for example, 200200 + ... + 200800.

It is an arithmetic number, because the mean of its divisors is an integer number (5505591).

Almost surely, 2120500500 is an apocalyptic number.

120500500 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 120500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132134184).

120500500 is an abundant number, since it is smaller than the sum of its proper divisors (143767868).

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

120500500 is a wasteful number, since it uses less digits than its factorization.

120500500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 120500500 is about 10977.2719744024. The cubic root of 120500500 is about 493.9272076629.

Adding to 120500500 its reverse (5005021), we get a palindrome (125505521).

The spelling of 120500500 in words is "one hundred twenty million, five hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 401 500 601 802 1202 1604 2005 2404 3005 4010 6010 8020 10025 12020 15025 20050 30050 40100 50125 60100 75125 100250 150250 200500 241001 300500 482002 964004 1205005 2410010 4820020 6025025 12050050 24100100 30125125 60250250 120500500