Search a number
-
+
41019720 = 23357471039
BaseRepresentation
bin1001110001111…
…0100101001000
32212012000110220
42130132211020
541000112340
64023110040
71005443010
oct234364510
985160426
1041019720
11211777a5
12118a2320
138662a31
14563ac40
153903ed0
hex271e948

41019720 has 128 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 9167616.

The previous prime is 41019703. The next prime is 41019731. The reversal of 41019720 is 2791014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38961 + ... + 39999.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 241019720 is an apocalyptic number.

41019720 is a gapful number since it is divisible by the number (40) 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 41019720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

41019720 is an abundant number, since it is smaller than the sum of its proper divisors (102749880).

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

41019720 is a wasteful number, since it uses less digits than its factorization.

41019720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 41019720 is about 6404.6639256092. The cubic root of 41019720 is about 344.8769987903.

The spelling of 41019720 in words is "forty-one million, nineteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1039 1128 1316 1410 1645 1880 1974 2078 2632 2820 3117 3290 3948 4156 4935 5195 5640 6234 6580 7273 7896 8312 9870 10390 12468 13160 14546 15585 19740 20780 21819 24936 29092 31170 36365 39480 41560 43638 48833 58184 62340 72730 87276 97666 109095 124680 145460 146499 174552 195332 218190 244165 290920 292998 341831 390664 436380 488330 585996 683662 732495 872760 976660 1025493 1171992 1367324 1464990 1709155 1953320 2050986 2734648 2929980 3418310 4101972 5127465 5859960 6836620 8203944 10254930 13673240 20509860 41019720