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42134040 = 23335133001
BaseRepresentation
bin1010000010111…
…0101000011000
32221021122001000
42200232220120
541241242130
64103025000
71021063524
oct240565030
987248030
1042134040
1121868a23
121213b160
138962cb0
14584ad84
153a74260
hex282ea18

42134040 has 128 divisors (see below), whose sum is σ = 151300800. Its totient is φ = 10368000.

The previous prime is 42134021. The next prime is 42134047. The reversal of 42134040 is 4043124.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134047) 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, 12540 + ... + 15540.

Almost surely, 242134040 is an apocalyptic number.

42134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75650400).

42134040 is an abundant number, since it is smaller than the sum of its proper divisors (109166760).

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

42134040 is a wasteful number, since it uses less digits than its factorization.

42134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3024 counting only the distinct ones).

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

The square root of 42134040 is about 6491.0738710941. The cubic root of 42134040 is about 347.9720548309.

Adding to 42134040 its reverse (4043124), we get a palindrome (46177164).

The spelling of 42134040 in words is "forty-two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3001 3510 4680 6002 7020 9003 12004 14040 15005 18006 24008 27009 30010 36012 39013 45015 54018 60020 72024 78026 81027 90030 108036 117039 120040 135045 156052 162054 180060 195065 216072 234078 270090 312104 324108 351117 360120 390130 405135 468156 540180 585195 648216 702234 780260 810270 936312 1053351 1080360 1170390 1404468 1560520 1620540 1755585 2106702 2340780 2808936 3241080 3511170 4213404 4681560 5266755 7022340 8426808 10533510 14044680 21067020 42134040