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60042000 = 2435310007
BaseRepresentation
bin1110010100001…
…0101100010000
311011222110010210
43211002230100
5110332321000
65542524120
71326230364
oct345025420
9134873123
1060042000
113098a497
1218136640
13c593115
147d8d2a4
155410350
hex3942b10

60042000 has 80 divisors (see below), whose sum is σ = 193594752. Its totient is φ = 16009600.

The previous prime is 60041987. The next prime is 60042001. The reversal of 60042000 is 24006.

It is a tau number, because it is divible by the number of its divisors (80).

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 not an unprimeable number, because it can be changed into a prime (60042001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997 + ... + 11003.

Almost surely, 260042000 is an apocalyptic number.

60042000 is a gapful number since it is divisible by the number (60) 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 60042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96797376).

60042000 is an abundant number, since it is smaller than the sum of its proper divisors (133552752).

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

60042000 is a wasteful number, since it uses less digits than its factorization.

60042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033 (or 10017 counting only the distinct ones).

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

The square root of 60042000 is about 7748.6773064827. The cubic root of 60042000 is about 391.5780897225.

Adding to 60042000 its reverse (24006), we get a palindrome (60066006).

The spelling of 60042000 in words is "sixty million, forty-two thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 10007 20014 30021 40028 50035 60042 80056 100070 120084 150105 160112 200140 240168 250175 300210 400280 480336 500350 600420 750525 800560 1000700 1200840 1250875 1501050 2001400 2401680 2501750 3002100 3752625 4002800 5003500 6004200 7505250 10007000 12008400 15010500 20014000 30021000 60042000