Base | Representation |
---|---|
bin | 10000010110101… |
… | …101111000100000 |
3 | 201010022111002100 |
4 | 100112231320200 |
5 | 1030220444220 |
6 | 43121050400 |
7 | 6541165323 |
oct | 2026557040 |
9 | 633274070 |
10 | 274390560 |
11 | 130982764 |
12 | 77a86a00 |
13 | 44b023a2 |
14 | 286287ba |
15 | 19150d90 |
hex | 105ade20 |
274390560 has 144 divisors (see below), whose sum is σ = 947320920. Its totient is φ = 72314880.
The previous prime is 274390541. The next prime is 274390561. The reversal of 274390560 is 65093472.
274390560 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 90 + 560 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 242985744 + 31404816 = 15588^2 + 5604^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-4 number, since 4×2743905604 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (274390561) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127090 + ... + 129230.
Almost surely, 2274390560 is an apocalyptic number.
274390560 is a gapful number since it is divisible by the number (20) 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 274390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473660460).
274390560 is an abundant number, since it is smaller than the sum of its proper divisors (672930360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
274390560 is a wasteful number, since it uses less digits than its factorization.
274390560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2251 (or 2240 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 274390560 is about 16564.7384525081. The cubic root of 274390560 is about 649.8149848179.
The spelling of 274390560 in words is "two hundred seventy-four million, three hundred ninety thousand, five hundred sixty".
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