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41214420 = 223451319103
BaseRepresentation
bin1001110100111…
…0000111010100
32212112220120000
42131032013110
541022330140
64031211300
71010213442
oct235160724
985486500
1041214420
11212a0005
1211976b30
138700540
14568bb92
153941a30
hex274e1d4

41214420 has 240 divisors, whose sum is σ = 147987840. Its totient is φ = 9517824.

The previous prime is 41214361. The next prime is 41214449. The reversal of 41214420 is 2441214.

41214420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 41214393 and 41214402.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 400089 + ... + 400191.

It is an arithmetic number, because the mean of its divisors is an integer number (616616).

Almost surely, 241214420 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 41214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73993920).

41214420 is an abundant number, since it is smaller than the sum of its proper divisors (106773420).

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

41214420 is a wasteful number, since it uses less digits than its factorization.

41214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41214420 is about 6419.8457925405. The cubic root of 41214420 is about 345.4217903553.

Adding to 41214420 its reverse (2441214), we get a palindrome (43655634).

It can be divided in two parts, 412144 and 20, that added together give a square (412164 = 6422).

The spelling of 41214420 in words is "forty-one million, two hundred fourteen thousand, four hundred twenty".