Search a number
-
+
41005040 = 2451953509
BaseRepresentation
bin1001110001101…
…0111111110000
32212011021100012
42130122333300
540444130130
64022514052
71005352136
oct234327760
985137305
1041005040
112116776a
1211895928
13865914b
145635756
1538ee995
hex271aff0

41005040 has 80 divisors (see below), whose sum is σ = 102448800. Its totient is φ = 15215616.

The previous prime is 41005031. The next prime is 41005079. The reversal of 41005040 is 4050014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80306 + ... + 80814.

It is an arithmetic number, because the mean of its divisors is an integer number (1280610).

Almost surely, 241005040 is an apocalyptic number.

41005040 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 41005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51224400).

41005040 is an abundant number, since it is smaller than the sum of its proper divisors (61443760).

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

41005040 is a wasteful number, since it uses less digits than its factorization.

41005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 41005040 is about 6403.5177832188. The cubic root of 41005040 is about 344.8358527398.

Adding to 41005040 its reverse (4050014), we get a palindrome (45055054).

The spelling of 41005040 in words is "forty-one million, five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 380 424 509 530 760 848 1007 1018 1060 1520 2014 2036 2120 2545 4028 4072 4240 5035 5090 8056 8144 9671 10070 10180 16112 19342 20140 20360 26977 38684 40280 40720 48355 53954 77368 80560 96710 107908 134885 154736 193420 215816 269770 386840 431632 512563 539540 773680 1025126 1079080 2050252 2158160 2562815 4100504 5125630 8201008 10251260 20502520 41005040