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42168330 = 2335179187
BaseRepresentation
bin1010000011011…
…1000000001010
32221100101002000
42200313000022
541243341310
64103451430
71021265511
oct240670012
987311060
1042168330
1121891766
1212156b76
138975799
145859678
153a7e4c0
hex283700a

42168330 has 64 divisors (see below), whose sum is σ = 119076480. Its totient is φ = 10582272.

The previous prime is 42168317. The next prime is 42168331. The reversal of 42168330 is 3386124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42168294 and 42168303.

It is not an unprimeable number, because it can be changed into a prime (42168331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4 + ... + 9183.

It is an arithmetic number, because the mean of its divisors is an integer number (1860570).

Almost surely, 242168330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42168330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59538240).

42168330 is an abundant number, since it is smaller than the sum of its proper divisors (76908150).

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

42168330 is a wasteful number, since it uses less digits than its factorization.

42168330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42168330 is about 6493.7146534168. The cubic root of 42168330 is about 348.0664260832.

The spelling of 42168330 in words is "forty-two million, one hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 9187 18374 27561 45935 55122 82683 91870 137805 156179 165366 248049 275610 312358 413415 468537 496098 780895 826830 937074 1240245 1405611 1561790 2342685 2480490 2811222 4216833 4685370 7028055 8433666 14056110 21084165 42168330