Base | Representation |
---|---|
bin | 10001101001000… |
… | …00111001101000 |
3 | 101022110100212000 |
4 | 20310200321220 |
5 | 300340441401 |
6 | 22403451000 |
7 | 3444562110 |
oct | 1064407150 |
9 | 338410760 |
10 | 147983976 |
11 | 76595608 |
12 | 41686a60 |
13 | 248743aa |
14 | 15922040 |
15 | ced2186 |
hex | 8d20e68 |
147983976 has 128 divisors (see below), whose sum is σ = 475104000. Its totient is φ = 41803776.
The previous prime is 147983917. The next prime is 147983999. The reversal of 147983976 is 679389741.
It is a happy number.
147983976 is a `hidden beast` number, since 1 + 479 + 83 + 97 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146160 + ... + 147168.
It is an arithmetic number, because the mean of its divisors is an integer number (3711750).
Almost surely, 2147983976 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 147983976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237552000).
147983976 is an abundant number, since it is smaller than the sum of its proper divisors (327120024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147983976 is a wasteful number, since it uses less digits than its factorization.
147983976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).
The product of its digits is 2286144, while the sum is 54.
The square root of 147983976 is about 12164.8664604261. The cubic root of 147983976 is about 528.9381564657.
The spelling of 147983976 in words is "one hundred forty-seven million, nine hundred eighty-three thousand, nine hundred seventy-six".
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