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60042720 = 2535671867
BaseRepresentation
bin1110010100001…
…0110111100000
311011222111010110
43211002313200
5110332331340
65542531320
71326232443
oct345026740
9134874113
1060042720
113098aa91
1218136b40
13c59354a
147d8d65a
155410680
hex3942de0

60042720 has 96 divisors (see below), whose sum is σ = 192060288. Its totient is φ = 15763968.

The previous prime is 60042713. The next prime is 60042721. The reversal of 60042720 is 2724006.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60042721) 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, 31227 + ... + 33093.

It is an arithmetic number, because the mean of its divisors is an integer number (2000628).

Almost surely, 260042720 is an apocalyptic number.

60042720 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 60042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96030144).

60042720 is an abundant number, since it is smaller than the sum of its proper divisors (132017568).

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

60042720 is a wasteful number, since it uses less digits than its factorization.

60042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 60042720 is about 7748.7237658856. The cubic root of 60042720 is about 391.5796549330.

Adding to 60042720 its reverse (2724006), we get a palindrome (62766726).

The spelling of 60042720 in words is "sixty million, forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 1867 2010 2144 2680 3216 3734 4020 5360 5601 6432 7468 8040 9335 10720 11202 14936 16080 18670 22404 28005 29872 32160 37340 44808 56010 59744 74680 89616 112020 125089 149360 179232 224040 250178 298720 375267 448080 500356 625445 750534 896160 1000712 1250890 1501068 1876335 2001424 2501780 3002136 3752670 4002848 5003560 6004272 7505340 10007120 12008544 15010680 20014240 30021360 60042720