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41166640 = 2451812843
BaseRepresentation
bin1001110100001…
…0011100110000
32212110111000101
42131002130300
541014313030
64030202144
71006624234
oct235023460
985414011
1041166640
1121268119
1211953354
1386b4878
1456785c4
1539327ca
hex2742730

41166640 has 40 divisors (see below), whose sum is σ = 96275088. Its totient is φ = 16369920.

The previous prime is 41166613. The next prime is 41166641. The reversal of 41166640 is 4666114.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 41166599 and 41166608.

It is not an unprimeable number, because it can be changed into a prime (41166641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13059 + ... + 15901.

Almost surely, 241166640 is an apocalyptic number.

41166640 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 41166640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48137544).

41166640 is an abundant number, since it is smaller than the sum of its proper divisors (55108448).

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

41166640 is a wasteful number, since it uses less digits than its factorization.

41166640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 41166640 is about 6416.1234402090. The cubic root of 41166640 is about 345.2882559025.

The spelling of 41166640 in words is "forty-one million, one hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2843 2896 3620 5686 7240 11372 14215 14480 22744 28430 45488 56860 113720 227440 514583 1029166 2058332 2572915 4116664 5145830 8233328 10291660 20583320 41166640