Search a number
-
+
120787540 = 22533717921
BaseRepresentation
bin1110011001100…
…01001001010100
322102021122100121
413030301021110
5221410200130
615552521324
72664451156
oct714611124
9272248317
10120787540
11621aa515
1234550244
131c041523
1412082ad6
15a90dd7a
hex7331254

120787540 has 24 divisors (see below), whose sum is σ = 254420712. Its totient is φ = 48168960.

The previous prime is 120787529. The next prime is 120787549. The reversal of 120787540 is 45787021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 118679236 = 1452^2 + 10894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120787496 and 120787505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120787549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2221 + ... + 15700.

It is an arithmetic number, because the mean of its divisors is an integer number (10600863).

Almost surely, 2120787540 is an apocalyptic number.

120787540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120787540 is an abundant number, since it is smaller than the sum of its proper divisors (133633172).

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

120787540 is a wasteful number, since it uses less digits than its factorization.

120787540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18267 (or 18265 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 120787540 is about 10990.3384843234. The cubic root of 120787540 is about 494.3190855404.

The spelling of 120787540 in words is "one hundred twenty million, seven hundred eighty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 17921 35842 71684 89605 179210 358420 6039377 12078754 24157508 30196885 60393770 120787540