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41226120 = 233251323383
BaseRepresentation
bin1001110101000…
…0111110001000
32212120111121100
42131100332020
541023213440
64031341400
71010262525
oct235207610
985514540
1041226120
11212a8881
1211981860
138705970
14569214c
153945230
hex2750f88

41226120 has 192 divisors, whose sum is σ = 150958080. Its totient is φ = 9681408.

The previous prime is 41226113. The next prime is 41226127. The reversal of 41226120 is 2162214.

It is an interprime number because it is at equal distance from previous prime (41226113) and next prime (41226127).

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 = 41226093 and 41226102.

It is not an unprimeable number, because it can be changed into a prime (41226127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107449 + ... + 107831.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 241226120 is an apocalyptic number.

41226120 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 41226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

41226120 is an abundant number, since it is smaller than the sum of its proper divisors (109731960).

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

41226120 is a wasteful number, since it uses less digits than its factorization.

41226120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 429 counting only the distinct ones).

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

The square root of 41226120 is about 6420.7569647200. The cubic root of 41226120 is about 345.4544735163.

Adding to 41226120 its reverse (2162214), we get a palindrome (43388334).

The spelling of 41226120 in words is "forty-one million, two hundred twenty-six thousand, one hundred twenty".