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41412120 = 2335433797
BaseRepresentation
bin1001110111111…
…0011000011000
32212220221202020
42131332120120
541100141440
64035334440
71011666021
oct235763030
985827666
1041412120
11214155a2
1211a51420
13876c519
1456ddc48
1539803d0
hex277e618

41412120 has 64 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 11003904.

The previous prime is 41412089. The next prime is 41412149. The reversal of 41412120 is 2121414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41412120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51562 + ... + 52358.

Almost surely, 241412120 is an apocalyptic number.

41412120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41412120 is an abundant number, since it is smaller than the sum of its proper divisors (83267400).

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

41412120 is a wasteful number, since it uses less digits than its factorization.

41412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41412120 is about 6435.2249377936. The cubic root of 41412120 is about 345.9732234505.

Adding to 41412120 its reverse (2121414), we get a palindrome (43533534).

The spelling of 41412120 in words is "forty-one million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 433 797 866 1299 1594 1732 2165 2391 2598 3188 3464 3985 4330 4782 5196 6376 6495 7970 8660 9564 10392 11955 12990 15940 17320 19128 23910 25980 31880 47820 51960 95640 345101 690202 1035303 1380404 1725505 2070606 2760808 3451010 4141212 5176515 6902020 8282424 10353030 13804040 20706060 41412120