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146738128 = 2431295843
BaseRepresentation
bin10001011111100…
…00101111010000
3101020010001212111
420233300233100
5300031110003
622321035104
73431152645
oct1057605720
9336101774
10146738128
1175914589
1241185a94
13245292c4
14156b9dcc
15cd37e6d
hex8bf0bd0

146738128 has 20 divisors (see below), whose sum is σ = 293477248. Its totient is φ = 71002080.

The previous prime is 146738117. The next prime is 146738129. The reversal of 146738128 is 821837641.

146738128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

146738128 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146738129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147426 + ... + 148417.

Almost surely, 2146738128 is an apocalyptic number.

It is an amenable number.

146738128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

146738128 is a wasteful number, since it uses less digits than its factorization.

146738128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295882 (or 295876 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 146738128 is about 12113.5514197943. The cubic root of 146738128 is about 527.4496292955.

It can be divided in two parts, 14673 and 8128, that added together give a square (22801 = 1512).

The spelling of 146738128 in words is "one hundred forty-six million, seven hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 295843 591686 1183372 2366744 4733488 9171133 18342266 36684532 73369064 146738128