Search a number
-
+
74585040 = 2435310771
BaseRepresentation
bin1000111001000…
…01001111010000
312012100022102220
410130201033100
5123043210130
611222341040
71563651045
oct434411720
9165308386
1074585040
1139112932
1220b8a780
13125b577a
149c971cc
156834410
hex47213d0

74585040 has 40 divisors (see below), whose sum is σ = 231214368. Its totient is φ = 19889280.

The previous prime is 74585033. The next prime is 74585041. The reversal of 74585040 is 4058547.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 74584992 and 74585010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74585041) 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 7 ways as a sum of consecutive naturals, for example, 155146 + ... + 155625.

Almost surely, 274585040 is an apocalyptic number.

It is an amenable number.

74585040 is an abundant number, since it is smaller than the sum of its proper divisors (156629328).

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

74585040 is a wasteful number, since it uses less digits than its factorization.

74585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310787 (or 310781 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 74585040 is about 8636.2630807543. The cubic root of 74585040 is about 420.9371364584.

The spelling of 74585040 in words is "seventy-four million, five hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 310771 621542 932313 1243084 1553855 1864626 2486168 3107710 3729252 4661565 4972336 6215420 7458504 9323130 12430840 14917008 18646260 24861680 37292520 74585040