Base | Representation |
---|---|
bin | 100111100010… |
… | …0111000100000 |
3 | 1110000011100200 |
4 | 1033010320200 |
5 | 20301320001 |
6 | 2020145200 |
7 | 341124333 |
oct | 117047040 |
9 | 43004320 |
10 | 20729376 |
11 | 10779318 |
12 | 6b38200 |
13 | 43aa405 |
14 | 2a7861a |
15 | 1c47086 |
hex | 13c4e20 |
20729376 has 72 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 6852480.
The previous prime is 20729369. The next prime is 20729377. The reversal of 20729376 is 67392702.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 20729376.
It is not an unprimeable number, because it can be changed into a prime (20729377) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47881 + ... + 48311.
It is an arithmetic number, because the mean of its divisors is an integer number (825552).
Almost surely, 220729376 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 20729376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).
20729376 is an abundant number, since it is smaller than the sum of its proper divisors (38710368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20729376 is a wasteful number, since it uses less digits than its factorization.
20729376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 614 (or 603 counting only the distinct ones).
The product of its (nonzero) digits is 31752, while the sum is 36.
The square root of 20729376 is about 4552.9524486865. The cubic root of 20729376 is about 274.7021612888.
The spelling of 20729376 in words is "twenty million, seven hundred twenty-nine thousand, three hundred seventy-six".
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