Search a number
-
+
75032340 = 22358914051
BaseRepresentation
bin1000111100011…
…10011100010100
312020012001000120
410132032130110
5123202013330
611240111540
71600523115
oct436163424
9166161016
1075032340
11393989a9
12211655b0
1312711246
149d7220c
1568c1c10
hex478e714

75032340 has 48 divisors (see below), whose sum is σ = 212466240. Its totient is φ = 19782400.

The previous prime is 75032329. The next prime is 75032357. The reversal of 75032340 is 4323057.

It is a self number, because there is not a number n which added to its sum of digits gives 75032340.

It is a congruent number.

It is an unprimeable number.

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, 1686 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (4426380).

Almost surely, 275032340 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 75032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106233120).

75032340 is an abundant number, since it is smaller than the sum of its proper divisors (137433900).

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

75032340 is a wasteful number, since it uses less digits than its factorization.

75032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152 (or 14150 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 75032340 is about 8662.1209873795. The cubic root of 75032340 is about 421.7769386348.

Adding to 75032340 its reverse (4323057), we get a palindrome (79355397).

The spelling of 75032340 in words is "seventy-five million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 14051 28102 42153 56204 70255 84306 140510 168612 210765 281020 421530 843060 1250539 2501078 3751617 5002156 6252695 7503234 12505390 15006468 18758085 25010780 37516170 75032340