Search a number
-
+
41420106 = 2337138429
BaseRepresentation
bin1001111000000…
…0010101001010
32212221100201000
42132000111022
541100420411
64035435430
71012031220
oct236002512
985840630
1041420106
11214205a2
1211a55b76
138773050
145702b10
153982956
hex278054a

41420106 has 64 divisors (see below), whose sum is σ = 113299200. Its totient is φ = 10922688.

The previous prime is 41420101. The next prime is 41420107. The reversal of 41420106 is 60102414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41420101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700 + ... + 9128.

It is an arithmetic number, because the mean of its divisors is an integer number (1770300).

Almost surely, 241420106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41420106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56649600).

41420106 is an abundant number, since it is smaller than the sum of its proper divisors (71879094).

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

41420106 is a wasteful number, since it uses less digits than its factorization.

41420106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41420106 is about 6435.8453990132. The cubic root of 41420106 is about 345.9954614215.

The spelling of 41420106 in words is "forty-one million, four hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 8429 16858 25287 50574 59003 75861 109577 118006 151722 177009 219154 227583 328731 354018 455166 531027 657462 767039 986193 1062054 1534078 1593081 1972386 2301117 2958579 3186162 4602234 5917158 6903351 13806702 20710053 41420106