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42060000 = 25354701
BaseRepresentation
bin1010000001110…
…0100011100000
32221010212110210
42200130203200
541231410000
64101254120
71020334623
oct240344340
987125423
1042060000
1121818334
1212104340
138938398
14582bdba
153a5c350
hex281c8e0

42060000 has 120 divisors (see below), whose sum is σ = 138162024. Its totient is φ = 11200000.

The previous prime is 42059999. The next prime is 42060017. The reversal of 42060000 is 6024.

42060000 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59650 + ... + 60350.

Almost surely, 242060000 is an apocalyptic number.

42060000 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 42060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69081012).

42060000 is an abundant number, since it is smaller than the sum of its proper divisors (96102024).

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

42060000 is an equidigital number, since it uses as much as digits as its factorization.

42060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42060000 is about 6485.3681468364. The cubic root of 42060000 is about 347.7681108080.

Adding to 42060000 its reverse (6024), we get a palindrome (42066024).

The spelling of 42060000 in words is "forty-two million, sixty thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 701 750 800 1000 1200 1250 1402 1500 1875 2000 2103 2400 2500 2804 3000 3505 3750 4000 4206 5000 5608 6000 7010 7500 8412 10000 10515 11216 12000 14020 15000 16824 17525 20000 21030 22432 28040 30000 33648 35050 42060 52575 56080 60000 67296 70100 84120 87625 105150 112160 140200 168240 175250 210300 262875 280400 336480 350500 420600 438125 525750 560800 701000 841200 876250 1051500 1314375 1402000 1682400 1752500 2103000 2628750 2804000 3505000 4206000 5257500 7010000 8412000 10515000 14020000 21030000 42060000