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42134022 = 23272233167
BaseRepresentation
bin1010000010111…
…0101000000110
32221021122000100
42200232220012
541241242042
64103024530
71021063500
oct240565006
987248010
1042134022
1121868a07
121213b146
138962c98
14584ad70
153a7424c
hex282ea06

42134022 has 144 divisors (see below), whose sum is σ = 116093952. Its totient is φ = 10977120.

The previous prime is 42134021. The next prime is 42134047. The reversal of 42134022 is 22043124.

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

It is a junction number, because it is equal to n+sod(n) for n = 42133986 and 42134004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628833 + ... + 628899.

It is an arithmetic number, because the mean of its divisors is an integer number (806208).

Almost surely, 242134022 is an apocalyptic number.

42134022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58046976).

42134022 is an abundant number, since it is smaller than the sum of its proper divisors (73959930).

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

42134022 is a wasteful number, since it uses less digits than its factorization.

42134022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42134022 is about 6491.0724845745. The cubic root of 42134022 is about 347.9720052788.

Adding to 42134022 its reverse (22043124), we get a palindrome (64177146).

It can be divided in two parts, 421 and 34022, that added together give a palindrome (34443).

The spelling of 42134022 in words is "forty-two million, one hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 49 62 63 67 69 93 98 126 134 138 147 161 186 201 207 217 279 294 322 402 414 434 441 469 483 558 603 651 713 882 938 966 1127 1206 1302 1407 1426 1449 1519 1541 1953 2077 2139 2254 2814 2898 3038 3082 3283 3381 3906 4154 4221 4278 4557 4623 4991 6231 6417 6566 6762 8442 9114 9246 9849 9982 10143 10787 12462 12834 13671 13869 14539 14973 18693 19698 20286 21574 27342 27738 29078 29547 29946 32361 34937 37386 43617 44919 47771 59094 64722 69874 75509 87234 89838 95542 97083 101773 104811 130851 143313 151018 194166 203546 209622 226527 261702 286626 305319 314433 334397 429939 453054 610638 628866 668794 679581 859878 915957 1003191 1359162 1831914 2006382 2340779 3009573 4681558 6019146 7022337 14044674 21067011 42134022