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147728 = 2471319
BaseRepresentation
bin100100000100010000
321111122102
4210010100
514211403
63055532
71153460
oct440420
9244572
10147728
11a0a99
12715a8
1352319
143bba0
152db88
hex24110

147728 has 20 divisors (see below), whose sum is σ = 327360. Its totient is φ = 63264.

The previous prime is 147727. The next prime is 147739. The reversal of 147728 is 827741.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 147728.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147728.

It is not an unprimeable number, because it can be changed into a prime (147727) 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, 548 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2147728 is an apocalyptic number.

It is an amenable number.

147728 is an abundant number, since it is smaller than the sum of its proper divisors (179632).

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

147728 is a wasteful number, since it uses less digits than its factorization.

147728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1328 counting only the distinct ones).

The product of its digits is 3136, while the sum is 29.

The square root of 147728 is about 384.3540034916. The cubic root of 147728 is about 52.8633002671.

The spelling of 147728 in words is "one hundred forty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 1319 2638 5276 9233 10552 18466 21104 36932 73864 147728