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6561120 = 253513669
BaseRepresentation
bin11001000001110101100000
3110100100011110
4121001311200
53134423440
6352343320
7106524426
oct31016540
913310143
106561120
113781515
122244b40
131489527
14c2b116
15899080
hex641d60

6561120 has 48 divisors (see below), whose sum is σ = 20669040. Its totient is φ = 1749504.

The previous prime is 6561103. The next prime is 6561127. The reversal of 6561120 is 211656.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6355 + ... + 7314.

It is an arithmetic number, because the mean of its divisors is an integer number (430605).

Almost surely, 26561120 is an apocalyptic number.

6561120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6561120 is an abundant number, since it is smaller than the sum of its proper divisors (14107920).

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

6561120 is a wasteful number, since it uses less digits than its factorization.

6561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13687 (or 13679 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 6561120 is about 2561.4683289082. The cubic root of 6561120 is about 187.2086854031.

Adding to 6561120 its reverse (211656), we get a palindrome (6772776).

The spelling of 6561120 in words is "six million, five hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 13669 27338 41007 54676 68345 82014 109352 136690 164028 205035 218704 273380 328056 410070 437408 546760 656112 820140 1093520 1312224 1640280 2187040 3280560 6561120