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61065060 = 22357347419
BaseRepresentation
bin1110100011110…
…0011101100100
311020220102111220
43220330131210
5111113040220
610020500340
71341021150
oct350743544
9136812456
1061065060
11315190a1
121854a6b0
13c860994
148178060
155563540
hex3a3c764

61065060 has 96 divisors (see below), whose sum is σ = 196439040. Its totient is φ = 13884288.

The previous prime is 61065049. The next prime is 61065061. The reversal of 61065060 is 6056016.

It is a self number, because there is not a number n which added to its sum of digits gives 61065060.

It is not an unprimeable number, because it can be changed into a prime (61065061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145531 + ... + 145949.

It is an arithmetic number, because the mean of its divisors is an integer number (2046240).

Almost surely, 261065060 is an apocalyptic number.

61065060 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 61065060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98219520).

61065060 is an abundant number, since it is smaller than the sum of its proper divisors (135373980).

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

61065060 is a wasteful number, since it uses less digits than its factorization.

61065060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 61065060 is about 7814.4136056393. The cubic root of 61065060 is about 393.7896185885.

The spelling of 61065060 in words is "sixty-one million, sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 347 419 420 694 838 1041 1257 1388 1676 1735 2082 2095 2429 2514 2933 3470 4164 4190 4858 5028 5205 5866 6285 6940 7287 8380 8799 9716 10410 11732 12145 12570 14574 14665 17598 20820 24290 25140 29148 29330 35196 36435 43995 48580 58660 72870 87990 145393 145740 175980 290786 436179 581572 726965 872358 1017751 1453930 1744716 2035502 2180895 2907860 3053253 4071004 4361790 5088755 6106506 8723580 10177510 12213012 15266265 20355020 30532530 61065060