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54132560 = 2452923333
BaseRepresentation
bin1100111001111…
…1111101010000
310202212012220122
43032133331100
5102324220220
65212125412
71225055606
oct316377520
9122765818
1054132560
1128613659
1216166868
13b2a4401
147291876
154b44425
hex339ff50

54132560 has 40 divisors (see below), whose sum is σ = 130203720. Its totient is φ = 20905472.

The previous prime is 54132527. The next prime is 54132563. The reversal of 54132560 is 6523145.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 54051904 = 284^2 + 7352^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54132563) 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, 9347 + ... + 13986.

It is an arithmetic number, because the mean of its divisors is an integer number (3255093).

Almost surely, 254132560 is an apocalyptic number.

It is an amenable number.

54132560 is an abundant number, since it is smaller than the sum of its proper divisors (76071160).

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

54132560 is a wasteful number, since it uses less digits than its factorization.

54132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23375 (or 23369 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 54132560 is about 7357.4832653564. The cubic root of 54132560 is about 378.2853495179.

The spelling of 54132560 in words is "fifty-four million, one hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 23333 46666 93332 116665 186664 233330 373328 466660 676657 933320 1353314 1866640 2706628 3383285 5413256 6766570 10826512 13533140 27066280 54132560