Base | Representation |
---|---|
bin | 111101111010000… |
… | …1010100111011100 |
3 | 12100202202101020000 |
4 | 1323310022213130 |
5 | 13223240210130 |
6 | 542043054300 |
7 | 102322345110 |
oct | 17364124734 |
9 | 5322671200 |
10 | 2077272540 |
11 | 976625672 |
12 | 49b811390 |
13 | 271491165 |
14 | 159c51740 |
15 | c2578260 |
hex | 7bd0a9dc |
2077272540 has 240 divisors, whose sum is σ = 7540549632. Its totient is φ = 468872064.
The previous prime is 2077272539. The next prime is 2077272541. The reversal of 2077272540 is 452727702.
2077272540 is a `hidden beast` number, since 20 + 77 + 27 + 2 + 540 = 666.
It is an interprime number because it is at equal distance from previous prime (2077272539) and next prime (2077272541).
It is a super-2 number, since 2×20772725402 = 8630122410876103200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2077272495 and 2077272504.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2077272541) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 940117 + ... + 942323.
Almost surely, 22077272540 is an apocalyptic number.
2077272540 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 2077272540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770274816).
2077272540 is an abundant number, since it is smaller than the sum of its proper divisors (5463277092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2077272540 is a wasteful number, since it uses less digits than its factorization.
2077272540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2318 (or 2307 counting only the distinct ones).
The product of its (nonzero) digits is 54880, while the sum is 36.
The square root of 2077272540 is about 45577.1054368309. The cubic root of 2077272540 is about 1275.9426661935.
The spelling of 2077272540 in words is "two billion, seventy-seven million, two hundred seventy-two thousand, five hundred forty".
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