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60042240 = 2103251303
BaseRepresentation
bin1110010100001…
…0110000000000
311011222110110200
43211002300000
5110332322430
65542525200
71326231156
oct345026000
9134873420
1060042240
113098a695
1218136800
13c59326b
147d8d3d6
155410460
hex3942c00

60042240 has 132 divisors (see below), whose sum is σ = 208204464. Its totient is φ = 15998976.

The previous prime is 60042217. The next prime is 60042253. The reversal of 60042240 is 4224006.

60042240 is a `hidden beast` number, since 600 + 4 + 22 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45429 + ... + 46731.

Almost surely, 260042240 is an apocalyptic number.

60042240 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 60042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104102232).

60042240 is an abundant number, since it is smaller than the sum of its proper divisors (148162224).

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

60042240 is a wasteful number, since it uses less digits than its factorization.

60042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1313 counting only the distinct ones).

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

The square root of 60042240 is about 7748.6927929813. The cubic root of 60042240 is about 391.5786114607.

Adding to 60042240 its reverse (4224006), we get a palindrome (64266246).

The spelling of 60042240 in words is "sixty million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1303 1440 1536 1920 2304 2560 2606 2880 3072 3840 3909 4608 5120 5212 5760 6515 7680 7818 9216 10424 11520 11727 13030 15360 15636 19545 20848 23040 23454 26060 31272 39090 41696 46080 46908 52120 58635 62544 78180 83392 93816 104240 117270 125088 156360 166784 187632 208480 234540 250176 312720 333568 375264 416960 469080 500352 625440 667136 750528 833920 938160 1000704 1250880 1334272 1501056 1667840 1876320 2001408 2501760 3002112 3335680 3752640 4002816 5003520 6004224 6671360 7505280 10007040 12008448 15010560 20014080 30021120 60042240