Base | Representation |
---|---|
bin | 110100001101… |
… | …0100110000000 |
3 | 1220111122012020 |
4 | 1220122212000 |
5 | 24001400104 |
6 | 2414401440 |
7 | 451441320 |
oct | 150324600 |
9 | 56448166 |
10 | 27371904 |
11 | 144a5a0a |
12 | 9200280 |
13 | 58949c1 |
14 | 38c7280 |
15 | 260a2d9 |
hex | 1a1a980 |
27371904 has 128 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 7348224.
The previous prime is 27371899. The next prime is 27371923. The reversal of 27371904 is 40917372.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×273719042 = 1498442257170432, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45397 + ... + 45995.
It is an arithmetic number, because the mean of its divisors is an integer number (688500).
Almost surely, 227371904 is an apocalyptic number.
27371904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 27371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).
27371904 is an abundant number, since it is smaller than the sum of its proper divisors (60756096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27371904 is a wasteful number, since it uses less digits than its factorization.
27371904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 640 (or 628 counting only the distinct ones).
The product of its (nonzero) digits is 10584, while the sum is 33.
The square root of 27371904 is about 5231.8165105439. The cubic root of 27371904 is about 301.3711458714.
The spelling of 27371904 in words is "twenty-seven million, three hundred seventy-one thousand, nine hundred four".
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