[go: up one dir, main page]

Search a number
-
+
66442800 = 24352173257
BaseRepresentation
bin1111110101110…
…1011000110000
311122000122101110
43331131120300
5114002132200
610332033320
71434516534
oct375353060
9148018343
1066442800
1134561506
121a302840
13109c4688
148b77bc4
155c76b50
hex3f5d630

66442800 has 120 divisors (see below), whose sum is σ = 225427536. Its totient is φ = 16670720.

The previous prime is 66442693. The next prime is 66442801. The reversal of 66442800 is 824466.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66442801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18772 + ... + 22028.

Almost surely, 266442800 is an apocalyptic number.

66442800 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 66442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112713768).

66442800 is an abundant number, since it is smaller than the sum of its proper divisors (158984736).

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

66442800 is a wasteful number, since it uses less digits than its factorization.

66442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 66442800 is about 8151.2453036331. The cubic root of 66442800 is about 405.0257566305.

The spelling of 66442800 in words is "sixty-six million, four hundred forty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3257 3400 4080 5100 6514 6800 9771 10200 13028 16285 19542 20400 26056 32570 39084 48855 52112 55369 65140 78168 81425 97710 110738 130280 156336 162850 166107 195420 221476 244275 260560 276845 325700 332214 390840 442952 488550 553690 651400 664428 781680 830535 885904 977100 1107380 1302800 1328856 1384225 1661070 1954200 2214760 2657712 2768450 3322140 3908400 4152675 4429520 5536900 6644280 8305350 11073800 13288560 16610700 22147600 33221400 66442800