Search a number
-
+
75080016 = 243211231139
BaseRepresentation
bin1000111100110…
…10000101010000
312020021110102100
410132122011100
5123210030031
611241120400
71601112114
oct436320520
9166243370
1075080016
1139420800
1221189100
1312729b5b
149d85744
1568d0de6
hex479a150

75080016 has 180 divisors, whose sum is σ = 240123520. Its totient is φ = 21859200.

The previous prime is 75080011. The next prime is 75080029. The reversal of 75080016 is 61008057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75080011) 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 35 ways as a sum of consecutive naturals, for example, 540075 + ... + 540213.

Almost surely, 275080016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120061760).

75080016 is an abundant number, since it is smaller than the sum of its proper divisors (165043504).

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

75080016 is a wasteful number, since it uses less digits than its factorization.

75080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 75080016 is about 8664.8725322419. The cubic root of 75080016 is about 421.8662529215.

The spelling of 75080016 in words is "seventy-five million, eighty thousand, sixteen".