Search a number
-
+
168935328 = 2533195527
BaseRepresentation
bin10100001000110…
…11111110100000
3102202212210201000
422010123332200
5321221412303
624432512000
74120632552
oct1204337640
9382783630
10168935328
11873a5681
12486ab600
1328ccb843
14186174d2
15ec6eda3
hexa11bfa0

168935328 has 48 divisors (see below), whose sum is σ = 492730560. Its totient is φ = 56311488.

The previous prime is 168935321. The next prime is 168935329. The reversal of 168935328 is 823539861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (168935321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96900 + ... + 98627.

It is an arithmetic number, because the mean of its divisors is an integer number (10265220).

Almost surely, 2168935328 is an apocalyptic number.

168935328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

168935328 is an abundant number, since it is smaller than the sum of its proper divisors (323795232).

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

168935328 is a wasteful number, since it uses less digits than its factorization.

168935328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195546 (or 195532 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 168935328 is about 12997.5123773744. The cubic root of 168935328 is about 552.8069483218.

The spelling of 168935328 in words is "one hundred sixty-eight million, nine hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 195527 391054 586581 782108 1173162 1564216 1759743 2346324 3128432 3519486 4692648 5279229 6256864 7038972 9385296 10558458 14077944 18770592 21116916 28155888 42233832 56311776 84467664 168935328