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41420100 = 223521011367
BaseRepresentation
bin1001111000000…
…0010101000100
32212221100200210
42132000111010
541100420400
64035435420
71012031211
oct236002504
985840623
1041420100
1121420597
1211a55b70
138773047
145702b08
153982950
hex2780544

41420100 has 72 divisors (see below), whose sum is σ = 121117248. Its totient is φ = 10928000.

The previous prime is 41420081. The next prime is 41420101. The reversal of 41420100 is 102414.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 29617 + ... + 30983.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 241420100 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 41420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558624).

41420100 is an abundant number, since it is smaller than the sum of its proper divisors (79697148).

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

41420100 is a wasteful number, since it uses less digits than its factorization.

41420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 41420100 is about 6435.8449328740. The cubic root of 41420100 is about 345.9954447149.

Adding to 41420100 its reverse (102414), we get a palindrome (41522514).

The spelling of 41420100 in words is "forty-one million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1367 1515 2020 2525 2734 3030 4101 5050 5468 6060 6835 7575 8202 10100 13670 15150 16404 20505 27340 30300 34175 41010 68350 82020 102525 136700 138067 205050 276134 410100 414201 552268 690335 828402 1380670 1656804 2071005 2761340 3451675 4142010 6903350 8284020 10355025 13806700 20710050 41420100