Base | Representation |
---|---|
bin | 1001010010110… |
… | …01010010010100 |
3 | 12102200210111000 |
4 | 10221121102110 |
5 | 124424212330 |
6 | 11422543300 |
7 | 1634436423 |
oct | 451312224 |
9 | 172623430 |
10 | 77960340 |
11 | 40008837 |
12 | 22137b30 |
13 | 131c7ba3 |
14 | a4d52ba |
15 | 6c9e560 |
hex | 4a59494 |
77960340 has 96 divisors (see below), whose sum is σ = 253128960. Its totient is φ = 19882368.
The previous prime is 77960339. The next prime is 77960341. The reversal of 77960340 is 4306977.
77960340 is a `hidden beast` number, since 7 + 7 + 9 + 603 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (77960339) and next prime (77960341).
It is a super-2 number, since 2×779603402 = 12155629225831200, 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 = 77960295 and 77960304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (77960341) by changing a digit.
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, 9282 + ... + 15558.
It is an arithmetic number, because the mean of its divisors is an integer number (2636760).
Almost surely, 277960340 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 77960340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126564480).
77960340 is an abundant number, since it is smaller than the sum of its proper divisors (175168620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77960340 is a wasteful number, since it uses less digits than its factorization.
77960340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6318 (or 6310 counting only the distinct ones).
The product of its (nonzero) digits is 31752, while the sum is 36.
The square root of 77960340 is about 8829.5152754837. The cubic root of 77960340 is about 427.1934398058.
The spelling of 77960340 in words is "seventy-seven million, nine hundred sixty thousand, three hundred forty".
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