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546464660 = 225721732801
BaseRepresentation
bin100000100100100…
…110001110010100
31102002021021120212
4200210212032110
52104343332120
6130120344552
716353605300
oct4044461624
91362237525
10546464660
11260512a95
12133015158
13892a3291
145280cd00
1532e956c5
hex20926394

546464660 has 72 divisors (see below), whose sum is σ = 1413503784. Its totient is φ = 176332800.

The previous prime is 546464651. The next prime is 546464669. The reversal of 546464660 is 66464645.

546464660 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (546464651) and next prime (546464669).

It can be written as a sum of positive squares in 4 ways, for example, as 40934404 + 505530256 = 6398^2 + 22484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546464669) 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 23 ways as a sum of consecutive naturals, for example, 260 + ... + 33060.

It is an arithmetic number, because the mean of its divisors is an integer number (19631997).

Almost surely, 2546464660 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 546464660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706751892).

546464660 is an abundant number, since it is smaller than the sum of its proper divisors (867039124).

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

546464660 is a wasteful number, since it uses less digits than its factorization.

546464660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32841 (or 32832 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The square root of 546464660 is about 23376.5835827223. The cubic root of 546464660 is about 817.5619931354.

The spelling of 546464660 in words is "five hundred forty-six million, four hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 32801 65602 131204 164005 229607 328010 459214 557617 656020 918428 1115234 1148035 1607249 2230468 2296070 2788085 3214498 3903319 4592140 5576170 6428996 7806638 8036245 11152340 15613276 16072490 19516595 27323233 32144980 39033190 54646466 78066380 109292932 136616165 273232330 546464660