Search a number
-
+
146185936 = 2413702817
BaseRepresentation
bin10001011011010…
…01111011010000
3101012002000101221
420231221323100
5244410422221
622301134424
73423363031
oct1055517320
9335060357
10146185936
1175577726
1240b5a414
1324394b70
14155b4a88
15cc79541
hex8b69ed0

146185936 has 20 divisors (see below), whose sum is σ = 305023012. Its totient is φ = 67470336.

The previous prime is 146185909. The next prime is 146185961. The reversal of 146185936 is 639581641.

146185936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39187600 + 106998336 = 6260^2 + 10344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146185892 and 146185901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 351201 + ... + 351616.

Almost surely, 2146185936 is an apocalyptic number.

146185936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146185936 is an abundant number, since it is smaller than the sum of its proper divisors (158837076).

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

146185936 is a wasteful number, since it uses less digits than its factorization.

146185936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702838 (or 702832 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 146185936 is about 12090.7376119077. The cubic root of 146185936 is about 526.7871803120.

The spelling of 146185936 in words is "one hundred forty-six million, one hundred eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 702817 1405634 2811268 5622536 9136621 11245072 18273242 36546484 73092968 146185936