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41091680 = 2557191931
BaseRepresentation
bin1001110011000…
…0001001100000
32212022200012002
42130300021200
541004413210
64024423132
71006162550
oct234601140
985280162
1041091680
1121216873
1211917aa8
138689706
145659160
15391a4a5
hex2730260

41091680 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 13340160.

The previous prime is 41091679. The next prime is 41091683. The reversal of 41091680 is 8619014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41091683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20315 + ... + 22245.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 241091680 is an apocalyptic number.

41091680 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 41091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

41091680 is an abundant number, since it is smaller than the sum of its proper divisors (75755680).

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

41091680 is a wasteful number, since it uses less digits than its factorization.

41091680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 41091680 is about 6410.2792450875. The cubic root of 41091680 is about 345.0785510419.

The spelling of 41091680 in words is "forty-one million, ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 1931 2128 2660 3040 3862 4256 5320 7724 9655 10640 13517 15448 19310 21280 27034 30896 36689 38620 54068 61792 67585 73378 77240 108136 135170 146756 154480 183445 216272 256823 270340 293512 308960 366890 432544 513646 540680 587024 733780 1027292 1081360 1174048 1284115 1467560 2054584 2162720 2568230 2935120 4109168 5136460 5870240 8218336 10272920 20545840 41091680