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60142208 = 277243223
BaseRepresentation
bin1110010101101…
…1001010000000
311012011112121012
43211123022000
5110344022313
65545020052
71330125500
oct345331200
9135145535
1060142208
1130a48805
1218184628
13c5c9909
147db7a00
15542eda8
hex395b280

60142208 has 96 divisors (see below), whose sum is σ = 143256960. Its totient is φ = 25062912.

The previous prime is 60142207. The next prime is 60142241. The reversal of 60142208 is 80224106.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (60142207) 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 11 ways as a sum of consecutive naturals, for example, 269585 + ... + 269807.

It is an arithmetic number, because the mean of its divisors is an integer number (1492260).

Almost surely, 260142208 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 60142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628480).

60142208 is an abundant number, since it is smaller than the sum of its proper divisors (83114752).

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

60142208 is a wasteful number, since it uses less digits than its factorization.

60142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 60142208 is about 7755.1407466274. The cubic root of 60142208 is about 391.7958120268.

The spelling of 60142208 in words is "sixty million, one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 128 172 196 223 224 301 344 392 446 448 602 688 784 892 896 1204 1376 1561 1568 1784 2107 2408 2752 3122 3136 3568 4214 4816 5504 6244 6272 7136 8428 9589 9632 10927 12488 14272 16856 19178 19264 21854 24976 28544 33712 38356 38528 43708 49952 67123 67424 76712 87416 99904 134246 134848 153424 174832 199808 268492 269696 306848 349664 469861 536984 613696 699328 939722 1073968 1227392 1398656 1879444 2147936 3758888 4295872 7517776 8591744 15035552 30071104 60142208