Search a number
-
+
73866060 = 22335373697
BaseRepresentation
bin1000110011100…
…01101101001100
312010222210012000
410121301231030
5122402203220
611155112300
71554564642
oct431615514
9163883160
1073866060
1138771734
12208a2690
13123c3438
149b4b192
156741390
hex4671b4c

73866060 has 96 divisors (see below), whose sum is σ = 236080320. Its totient is φ = 19160064.

The previous prime is 73866017. The next prime is 73866061. The reversal of 73866060 is 6066837.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73866061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18132 + ... + 21828.

It is an arithmetic number, because the mean of its divisors is an integer number (2459170).

Almost surely, 273866060 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 73866060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118040160).

73866060 is an abundant number, since it is smaller than the sum of its proper divisors (162214260).

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

73866060 is a wasteful number, since it uses less digits than its factorization.

73866060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 73866060 is about 8594.5366367245. The cubic root of 73866060 is about 419.5801927702.

It can be divided in two parts, 738660 and 60, that added together give a triangular number (738720 = T1215).

The spelling of 73866060 in words is "seventy-three million, eight hundred sixty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3697 3996 4995 6660 7394 9990 11091 14788 18485 19980 22182 33273 36970 44364 55455 66546 73940 99819 110910 133092 136789 166365 199638 221820 273578 332730 399276 410367 499095 547156 665460 683945 820734 998190 1231101 1367890 1641468 1996380 2051835 2462202 2735780 3693303 4103670 4924404 6155505 7386606 8207340 12311010 14773212 18466515 24622020 36933030 73866060