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42123060 = 223257101331
BaseRepresentation
bin1010000010101…
…1111100110100
32221021001222100
42200223330310
541240414220
64102502100
71021016520
oct240537464
987231870
1042123060
1121860751
1212134930
13895acb5
145846d80
153a70d90
hex282bf34

42123060 has 144 divisors (see below), whose sum is σ = 147917952. Its totient is φ = 9504000.

The previous prime is 42123049. The next prime is 42123073. The reversal of 42123060 is 6032124.

It is a happy number.

42123060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127095 + ... + 127425.

It is an arithmetic number, because the mean of its divisors is an integer number (1027208).

Almost surely, 242123060 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 42123060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73958976).

42123060 is an abundant number, since it is smaller than the sum of its proper divisors (105794892).

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

42123060 is a wasteful number, since it uses less digits than its factorization.

42123060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42123060 is about 6490.2280391370. The cubic root of 42123060 is about 347.9418253925.

Adding to 42123060 its reverse (6032124), we get a palindrome (48155184).

The spelling of 42123060 in words is "forty-two million, one hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 331 404 420 505 606 630 662 707 909 993 1010 1212 1260 1324 1414 1515 1655 1818 1986 2020 2121 2317 2828 2979 3030 3310 3535 3636 3972 4242 4545 4634 4965 5958 6060 6363 6620 6951 7070 8484 9090 9268 9930 10605 11585 11916 12726 13902 14140 14895 18180 19860 20853 21210 23170 25452 27804 29790 31815 33431 34755 41706 42420 46340 59580 63630 66862 69510 83412 100293 104265 127260 133724 139020 167155 200586 208530 234017 300879 334310 401172 417060 468034 501465 601758 668620 702051 936068 1002930 1170085 1203516 1404102 1504395 2005860 2106153 2340170 2808204 3008790 3510255 4212306 4680340 6017580 7020510 8424612 10530765 14041020 21061530 42123060