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41305000 = 235411751
BaseRepresentation
bin1001110110010…
…0001110101000
32212201111210211
42131210032220
541033230000
64033150504
71011041512
oct235441650
985644724
1041305000
1121352070
12119bb434
138732839
1456b2bb2
15395d7ba
hex27643a8

41305000 has 80 divisors (see below), whose sum is σ = 105716160. Its totient is φ = 15000000.

The previous prime is 41304997. The next prime is 41305001. The reversal of 41305000 is 50314.

It is a super-2 number, since 2×413050002 = 3412206050000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41305001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54625 + ... + 55375.

It is an arithmetic number, because the mean of its divisors is an integer number (1321452).

Almost surely, 241305000 is an apocalyptic number.

41305000 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 41305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52858080).

41305000 is an abundant number, since it is smaller than the sum of its proper divisors (64411160).

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

41305000 is a wasteful number, since it uses less digits than its factorization.

41305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 41305000 is about 6426.8966072281. The cubic root of 41305000 is about 345.6746582606.

Adding to 41305000 its reverse (50314), we get a palindrome (41355314).

The spelling of 41305000 in words is "forty-one million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 751 1000 1100 1250 1375 1502 2200 2500 2750 3004 3755 5000 5500 6008 6875 7510 8261 11000 13750 15020 16522 18775 27500 30040 33044 37550 41305 55000 66088 75100 82610 93875 150200 165220 187750 206525 330440 375500 413050 469375 751000 826100 938750 1032625 1652200 1877500 2065250 3755000 4130500 5163125 8261000 10326250 20652500 41305000