Search a number
-
+
41011140 = 223517311297
BaseRepresentation
bin1001110001110…
…0011111000100
32212011120201010
42130130133010
540444324030
64023002220
71005406002
oct234343704
985146633
1041011140
1121171305
1211899370
13865bb61
145637a72
1539016b0
hex271c7c4

41011140 has 96 divisors (see below), whose sum is σ = 125604864. Its totient is φ = 9953280.

The previous prime is 41011129. The next prime is 41011153. The reversal of 41011140 is 4111014.

41011140 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 (12).

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 31 ways as a sum of consecutive naturals, for example, 30972 + ... + 32268.

It is an arithmetic number, because the mean of its divisors is an integer number (1308384).

Almost surely, 241011140 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 41011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62802432).

41011140 is an abundant number, since it is smaller than the sum of its proper divisors (84593724).

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

41011140 is a wasteful number, since it uses less digits than its factorization.

41011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 41011140 is about 6403.9940662059. The cubic root of 41011140 is about 344.8529514054.

Adding to 41011140 its reverse (4111014), we get a palindrome (45122154).

The spelling of 41011140 in words is "forty-one million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1297 1581 1860 2108 2594 2635 3162 3891 5188 5270 6324 6485 7782 7905 10540 12970 15564 15810 19455 22049 25940 31620 38910 40207 44098 66147 77820 80414 88196 110245 120621 132294 160828 201035 220490 241242 264588 330735 402070 440980 482484 603105 661470 683519 804140 1206210 1322940 1367038 2050557 2412420 2734076 3417595 4101114 6835190 8202228 10252785 13670380 20505570 41011140