Search a number
-
+
120930040 = 23572117179
BaseRepresentation
bin1110011010100…
…11111011111000
322102112212211101
413031103323320
5221424230130
615555541144
72665613500
oct715237370
9272485741
10120930040
1162297590
12345ba7b4
131c09134a
14120bca00
15a93b1ca
hex7353ef8

120930040 has 192 divisors, whose sum is σ = 354585600. Its totient is φ = 36691200.

The previous prime is 120929987. The next prime is 120930049. The reversal of 120930040 is 40039021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120930049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1530721 + ... + 1530799.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 2120930040 is an apocalyptic number.

120930040 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 120930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

120930040 is an abundant number, since it is smaller than the sum of its proper divisors (233655560).

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

120930040 is a wasteful number, since it uses less digits than its factorization.

120930040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 120930040 is about 10996.8195402125. The cubic root of 120930040 is about 494.5134013530.

Adding to 120930040 its reverse (40039021), we get a palindrome (160969061).

The spelling of 120930040 in words is "one hundred twenty million, nine hundred thirty thousand, forty".