Search a number
-
+
64020880 = 24571119547
BaseRepresentation
bin1111010000111…
…0000110010000
311110110121010201
43310032012100
5112342132010
610204104544
71405111540
oct364160620
9143417121
1064020880
1133157920
1219535154
13103571a1
148707320
15594923a
hex3d0e190

64020880 has 160 divisors (see below), whose sum is σ = 195701760. Its totient is φ = 18869760.

The previous prime is 64020871. The next prime is 64020881. The reversal of 64020880 is 8802046.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (64020881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116767 + ... + 117313.

It is an arithmetic number, because the mean of its divisors is an integer number (1223136).

Almost surely, 264020880 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 64020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97850880).

64020880 is an abundant number, since it is smaller than the sum of its proper divisors (131680880).

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

64020880 is a wasteful number, since it uses less digits than its factorization.

64020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 64020880 is about 8001.3048935783. The cubic root of 64020880 is about 400.0434952702.

The spelling of 64020880 in words is "sixty-four million, twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 19 20 22 28 35 38 40 44 55 56 70 76 77 80 88 95 110 112 133 140 152 154 176 190 209 220 266 280 304 308 380 385 418 440 532 547 560 616 665 760 770 836 880 1045 1064 1094 1232 1330 1463 1520 1540 1672 2090 2128 2188 2660 2735 2926 3080 3344 3829 4180 4376 5320 5470 5852 6017 6160 7315 7658 8360 8752 10393 10640 10940 11704 12034 14630 15316 16720 19145 20786 21880 23408 24068 29260 30085 30632 38290 41572 42119 43760 48136 51965 58520 60170 61264 72751 76580 83144 84238 96272 103930 114323 117040 120340 145502 153160 166288 168476 207860 210595 228646 240680 291004 306320 336952 363755 415720 421190 457292 481360 571615 582008 673904 727510 800261 831440 842380 914584 1143230 1164016 1455020 1600522 1684760 1829168 2286460 2910040 3201044 3369520 4001305 4572920 5820080 6402088 8002610 9145840 12804176 16005220 32010440 64020880