Search a number
-
+
6675540 = 2235313797
BaseRepresentation
bin11001011101110001010100
3110120011010020
4121131301110
53202104130
6355025140
7110512134
oct31356124
913504106
106675540
11384a483
12229b1b0
1314c9631
14c5aac4
158bce10
hex65dc54

6675540 has 96 divisors (see below), whose sum is σ = 20020224. Its totient is φ = 1658880.

The previous prime is 6675527. The next prime is 6675541. The reversal of 6675540 is 455766.

6675540 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6675541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68772 + ... + 68868.

It is an arithmetic number, because the mean of its divisors is an integer number (208544).

Almost surely, 26675540 is an apocalyptic number.

6675540 is a gapful number since it is divisible by the number (60) 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 6675540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010112).

6675540 is an abundant number, since it is smaller than the sum of its proper divisors (13344684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6675540 is a wasteful number, since it uses less digits than its factorization.

6675540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 6675540 is about 2583.7066396942. The cubic root of 6675540 is about 188.2906700205.

It can be divided in two parts, 66755 and 40, that added together give a triangular number (66795 = T365).

The spelling of 6675540 in words is "six million, six hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 97 111 124 148 155 185 186 194 222 291 310 370 372 388 444 465 485 555 582 620 740 930 970 1110 1147 1164 1455 1860 1940 2220 2294 2910 3007 3441 3589 4588 5735 5820 6014 6882 7178 9021 10767 11470 12028 13764 14356 15035 17205 17945 18042 21534 22940 30070 34410 35890 36084 43068 45105 53835 60140 68820 71780 90210 107670 111259 180420 215340 222518 333777 445036 556295 667554 1112590 1335108 1668885 2225180 3337770 6675540