Search a number
-
+
41368560 = 2435971777
BaseRepresentation
bin1001110111001…
…1101111110000
32212211201222220
42131303233300
541042243220
64034401040
71011425022
oct235635760
985751886
1041368560
11213958a2
1211a30180
13875574c
1456cc012
153972540
hex2773bf0

41368560 has 80 divisors (see below), whose sum is σ = 129637536. Its totient is φ = 10911744.

The previous prime is 41368543. The next prime is 41368571. The reversal of 41368560 is 6586314.

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

It is a super-2 number, since 2×413685602 = 3422715512947200, which contains 22 as substring.

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, 22392 + ... + 24168.

Almost surely, 241368560 is an apocalyptic number.

41368560 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 41368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64818768).

41368560 is an abundant number, since it is smaller than the sum of its proper divisors (88268976).

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

41368560 is a wasteful number, since it uses less digits than its factorization.

41368560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 41368560 is about 6431.8395502376. The cubic root of 41368560 is about 345.8518750724.

The spelling of 41368560 in words is "forty-one million, three hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1777 1940 2328 2910 3554 3880 4656 5331 5820 7108 7760 8885 10662 11640 14216 17770 21324 23280 26655 28432 35540 42648 53310 71080 85296 106620 142160 172369 213240 344738 426480 517107 689476 861845 1034214 1378952 1723690 2068428 2585535 2757904 3447380 4136856 5171070 6894760 8273712 10342140 13789520 20684280 41368560