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61066160 = 24547109149
BaseRepresentation
bin1110100011110…
…0101110110000
311020220111000122
43220330232300
5111113104120
610020505412
71341024311
oct350745660
9136814018
1061066160
1131519a01
121854b268
13c86132c
148178608
155563a25
hex3a3cbb0

61066160 has 80 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 23528448.

The previous prime is 61066153. The next prime is 61066163. The reversal of 61066160 is 6166016.

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

It is not an unprimeable number, because it can be changed into a prime (61066163) 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, 409766 + ... + 409914.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 261066160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

61066160 is an abundant number, since it is smaller than the sum of its proper divisors (86245840).

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

61066160 is a wasteful number, since it uses less digits than its factorization.

61066160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 61066160 is about 7814.4839880826. The cubic root of 61066160 is about 393.7919830938.

The spelling of 61066160 in words is "sixty-one million, sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 109 149 188 218 235 298 376 436 470 545 596 745 752 872 940 1090 1192 1490 1744 1880 2180 2384 2980 3760 4360 5123 5960 7003 8720 10246 11920 14006 16241 20492 25615 28012 32482 35015 40984 51230 56024 64964 70030 81205 81968 102460 112048 129928 140060 162410 204920 259856 280120 324820 409840 560240 649640 763327 1299280 1526654 3053308 3816635 6106616 7633270 12213232 15266540 30533080 61066160