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60132160 = 2651121553
BaseRepresentation
bin1110010101100…
…0101101000000
311012011000211001
43211120231000
5110343212120
65544501344
71330054264
oct345305500
9135130731
1060132160
1130a41200
121817a854
13c5c517a
147db40a4
15542be0a
hex3958b40

60132160 has 84 divisors (see below), whose sum is σ = 157491684. Its totient is φ = 21852160.

The previous prime is 60132133. The next prime is 60132187. The reversal of 60132160 is 6123106.

It is an interprime number because it is at equal distance from previous prime (60132133) and next prime (60132187).

It can be written as a sum of positive squares in 2 ways, for example, as 13017664 + 47114496 = 3608^2 + 6864^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37944 + ... + 39496.

It is an arithmetic number, because the mean of its divisors is an integer number (1874901).

Almost surely, 260132160 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 60132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78745842).

60132160 is an abundant number, since it is smaller than the sum of its proper divisors (97359524).

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

60132160 is a wasteful number, since it uses less digits than its factorization.

60132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 60132160 is about 7754.4928912212. The cubic root of 60132160 is about 391.7739916131.

Adding to 60132160 its reverse (6123106), we get a palindrome (66255266).

It can be divided in two parts, 601 and 32160, that added together give a square (32761 = 1812).

The spelling of 60132160 in words is "sixty million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1553 1760 1936 2420 3106 3520 3872 4840 6212 7744 7765 9680 12424 15530 17083 19360 24848 31060 34166 38720 49696 62120 68332 85415 99392 124240 136664 170830 187913 248480 273328 341660 375826 496960 546656 683320 751652 939565 1093312 1366640 1503304 1879130 2733280 3006608 3758260 5466560 6013216 7516520 12026432 15033040 30066080 60132160