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61050060 = 223251771281
BaseRepresentation
bin1110100011100…
…0110011001100
311020212122221100
43220320303030
5111112100220
610020303100
71340626341
oct350706314
9136778840
1061050060
11315088a5
1218541a90
13c856bc6
1481727c8
15555dd90
hex3a38ccc

61050060 has 144 divisors (see below), whose sum is σ = 199547712. Its totient is φ = 15052800.

The previous prime is 61050053. The next prime is 61050071. The reversal of 61050060 is 6005016.

61050060 is a `hidden beast` number, since 610 + 50 + 0 + 6 + 0 = 666.

61050060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217120 + ... + 217400.

It is an arithmetic number, because the mean of its divisors is an integer number (1385748).

Almost surely, 261050060 is an apocalyptic number.

61050060 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 61050060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99773856).

61050060 is an abundant number, since it is smaller than the sum of its proper divisors (138497652).

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

61050060 is a wasteful number, since it uses less digits than its factorization.

61050060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61050060 is about 7813.4537817792. The cubic root of 61050060 is about 393.7573724999.

Adding to 61050060 its reverse (6005016), we get a palindrome (67055076).

The spelling of 61050060 in words is "sixty-one million, fifty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 71 85 90 102 142 153 170 180 204 213 255 281 284 306 340 355 426 510 562 612 639 710 765 843 852 1020 1065 1124 1207 1278 1405 1420 1530 1686 2130 2414 2529 2556 2810 3060 3195 3372 3621 4215 4260 4777 4828 5058 5620 6035 6390 7242 8430 9554 10116 10863 12070 12645 12780 14331 14484 16860 18105 19108 19951 21726 23885 24140 25290 28662 36210 39902 42993 43452 47770 50580 54315 57324 59853 71655 72420 79804 85986 95540 99755 108630 119706 143310 171972 179559 199510 214965 217260 239412 286620 299265 339167 359118 399020 429930 598530 678334 718236 859860 897795 1017501 1197060 1356668 1695835 1795590 2035002 3052503 3391670 3591180 4070004 5087505 6105006 6783340 10175010 12210012 15262515 20350020 30525030 61050060