Search a number
-
+
128537316 = 22323570481
BaseRepresentation
bin1111010100101…
…01001011100100
322221212101001100
413222111023210
5230401143231
620431000100
73120356235
oct752251344
9287771040
10128537316
1166612a96
1237069030
1320825aab
14130dd08c
15b4401e6
hex7a952e4

128537316 has 18 divisors (see below), whose sum is σ = 324913862. Its totient is φ = 42845760.

The previous prime is 128537303. The next prime is 128537333. The reversal of 128537316 is 613735821.

128537316 is a `hidden beast` number, since 1 + 285 + 373 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127780416 + 756900 = 11304^2 + 870^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3570481 = 128537316 / (1 + 2 + 8 + 5 + 3 + 7 + 3 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1785205 + ... + 1785276.

Almost surely, 2128537316 is an apocalyptic number.

It is an amenable number.

128537316 is an abundant number, since it is smaller than the sum of its proper divisors (196376546).

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

128537316 is a wasteful number, since it uses less digits than its factorization.

128537316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570491 (or 3570486 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 128537316 is about 11337.4298674788. The cubic root of 128537316 is about 504.6726185792.

The spelling of 128537316 in words is "one hundred twenty-eight million, five hundred thirty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3570481 7140962 10711443 14281924 21422886 32134329 42845772 64268658 128537316