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41386920 = 23351931787
BaseRepresentation
bin1001110111100…
…0001110101000
32212212200011220
42131320032220
541043340140
64035022040
71011532401
oct235701650
985780156
1041386920
11213a8673
1211a3a920
138760c03
1456d49a8
153977bd0
hex27783a8

41386920 has 64 divisors (see below), whose sum is σ = 124873920. Its totient is φ = 10973184.

The previous prime is 41386909. The next prime is 41386937. The reversal of 41386920 is 2968314.

41386920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 22267 + ... + 24053.

It is an arithmetic number, because the mean of its divisors is an integer number (1951155).

Almost surely, 241386920 is an apocalyptic number.

41386920 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 41386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62436960).

41386920 is an abundant number, since it is smaller than the sum of its proper divisors (83487000).

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

41386920 is a wasteful number, since it uses less digits than its factorization.

41386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 41386920 is about 6433.2666663212. The cubic root of 41386920 is about 345.9030322900.

The spelling of 41386920 in words is "forty-one million, three hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1787 1930 2316 2895 3574 3860 4632 5361 5790 7148 7720 8935 10722 11580 14296 17870 21444 23160 26805 35740 42888 53610 71480 107220 214440 344891 689782 1034673 1379564 1724455 2069346 2759128 3448910 4138692 5173365 6897820 8277384 10346730 13795640 20693460 41386920