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420134040 = 23345129671
BaseRepresentation
bin11001000010101…
…011110010011000
31002021120000120000
4121002223302120
51330023242130
6105404533000
713261036404
oct3102536230
91067500500
10420134040
111a6177a17
12b8851160
1369070a31
143db26104
1526d3e260
hex190abc98

420134040 has 80 divisors (see below), whose sum is σ = 1412128080. Its totient is φ = 112034880.

The previous prime is 420134017. The next prime is 420134047. The reversal of 420134040 is 40431024.

It is a super-2 number, since 2×4201340402 = 353025223133443200, which contains 22 as substring.

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 (420134047) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 61596 + ... + 68075.

It is an arithmetic number, because the mean of its divisors is an integer number (17651601).

Almost surely, 2420134040 is an apocalyptic number.

420134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420134040 is an abundant number, since it is smaller than the sum of its proper divisors (991994040).

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

420134040 is a wasteful number, since it uses less digits than its factorization.

420134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129694 (or 129681 counting only the distinct ones).

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

The square root of 420134040 is about 20497.1715121867. The cubic root of 420134040 is about 748.9668975859.

Adding to 420134040 its reverse (40431024), we get a palindrome (460565064).

The spelling of 420134040 in words is "four hundred twenty million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 129671 259342 389013 518684 648355 778026 1037368 1167039 1296710 1556052 1945065 2334078 2593420 3112104 3501117 3890130 4668156 5186840 5835195 7002234 7780260 9336312 10503351 11670390 14004468 15560520 17505585 21006702 23340780 28008936 35011170 42013404 46681560 52516755 70022340 84026808 105033510 140044680 210067020 420134040