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63048060 = 223252397157
BaseRepresentation
bin1111000010000…
…0100101111100
311101122011200100
43300200211330
5112120014220
610131201100
71363620405
oct360404574
9141564610
1063048060
1132652a39
1219146190
13100a645a
1485329ac
155805d90
hex3c2097c

63048060 has 144 divisors (see below), whose sum is σ = 202902336. Its totient is φ = 15814656.

The previous prime is 63048043. The next prime is 63048113. The reversal of 63048060 is 6084036.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401502 + ... + 401658.

It is an arithmetic number, because the mean of its divisors is an integer number (1409044).

Almost surely, 263048060 is an apocalyptic number.

63048060 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 63048060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101451168).

63048060 is an abundant number, since it is smaller than the sum of its proper divisors (139854276).

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

63048060 is a wasteful number, since it uses less digits than its factorization.

63048060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 63048060 is about 7940.2808514561. The cubic root of 63048060 is about 398.0068768119.

The spelling of 63048060 in words is "sixty-three million, forty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 97 115 138 157 180 194 207 230 276 291 314 345 388 414 460 471 485 582 628 690 785 828 873 942 970 1035 1164 1380 1413 1455 1570 1746 1884 1940 2070 2231 2355 2826 2910 3140 3492 3611 4140 4365 4462 4710 5652 5820 6693 7065 7222 8730 8924 9420 10833 11155 13386 14130 14444 15229 17460 18055 20079 21666 22310 26772 28260 30458 32499 33465 36110 40158 43332 44620 45687 54165 60916 64998 66930 72220 76145 80316 91374 100395 108330 129996 133860 137061 152290 162495 182748 200790 216660 228435 274122 304580 324990 350267 401580 456870 548244 649980 685305 700534 913740 1050801 1370610 1401068 1751335 2101602 2741220 3152403 3502670 4203204 5254005 6304806 7005340 10508010 12609612 15762015 21016020 31524030 63048060