Search a number
-
+
61986060 = 2234583461
BaseRepresentation
bin1110110001110…
…1010100001100
311022122012220000
43230131110030
5111332023220
610052324300
71351605243
oct354352414
9138565800
1061986060
1131a98054
1218913690
13cac3c56
14833795a
155696390
hex3b1d50c

61986060 has 120 divisors (see below), whose sum is σ = 197222256. Its totient is φ = 16295040.

The previous prime is 61986031. The next prime is 61986083. The reversal of 61986060 is 6068916.

61986060 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 (36).

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 39 ways as a sum of consecutive naturals, for example, 134230 + ... + 134690.

Almost surely, 261986060 is an apocalyptic number.

61986060 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 61986060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98611128).

61986060 is an abundant number, since it is smaller than the sum of its proper divisors (135236196).

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

61986060 is a wasteful number, since it uses less digits than its factorization.

61986060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 61986060 is about 7873.1226333647. The cubic root of 61986060 is about 395.7594958366.

The spelling of 61986060 in words is "sixty-one million, nine hundred eighty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 461 498 540 747 810 830 922 996 1245 1383 1494 1620 1660 1844 2241 2305 2490 2766 2988 3735 4149 4482 4610 4980 5532 6723 6915 7470 8298 8964 9220 11205 12447 13446 13830 14940 16596 20745 22410 24894 26892 27660 33615 37341 38263 41490 44820 49788 62235 67230 74682 76526 82980 114789 124470 134460 149364 153052 186705 191315 229578 248940 344367 373410 382630 459156 573945 688734 746820 765260 1033101 1147890 1377468 1721835 2066202 2295780 3099303 3443670 4132404 5165505 6198606 6887340 10331010 12397212 15496515 20662020 30993030 61986060