Search a number
-
+
130176128 = 272935069
BaseRepresentation
bin1111100001001…
…01010010000000
3100001221122002002
413300211102000
5231311114003
620530043132
73140323145
oct760452200
9301848062
10130176128
1167532285
12377194a8
1320c7a9c4
14134083cc
15b665a88
hex7c25480

130176128 has 32 divisors (see below), whose sum is σ = 268285500. Its totient is φ = 62841856.

The previous prime is 130176119. The next prime is 130176131. The reversal of 130176128 is 821671031.

It can be written as a sum of positive squares in 2 ways, for example, as 114746944 + 15429184 = 10712^2 + 3928^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 130176128.

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, 13823 + ... + 21246.

Almost surely, 2130176128 is an apocalyptic number.

It is an amenable number.

130176128 is an abundant number, since it is smaller than the sum of its proper divisors (138109372).

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

130176128 is an equidigital number, since it uses as much as digits as its factorization.

130176128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35112 (or 35100 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 130176128 is about 11409.4753604186. The cubic root of 130176128 is about 506.8083752590.

The spelling of 130176128 in words is "one hundred thirty million, one hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 35069 70138 140276 280552 561104 1017001 1122208 2034002 2244416 4068004 4488832 8136008 16272016 32544032 65088064 130176128