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41866960 = 2456773107
BaseRepresentation
bin1001111110110…
…1011011010000
32220210001200011
42133231123100
541204220320
64053204304
71015602052
oct237553320
986701604
1041866960
11216a62a3
1212030694
13889b565
1457bb8d2
153a2005a
hex27ed6d0

41866960 has 80 divisors (see below), whose sum is σ = 101082816. Its totient is φ = 16118784.

The previous prime is 41866949. The next prime is 41866961. The reversal of 41866960 is 6966814.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41866961) 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, 391227 + ... + 391333.

Almost surely, 241866960 is an apocalyptic number.

41866960 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 41866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50541408).

41866960 is an abundant number, since it is smaller than the sum of its proper divisors (59215856).

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

41866960 is a wasteful number, since it uses less digits than its factorization.

41866960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 41866960 is about 6470.4682983537. The cubic root of 41866960 is about 347.2352520005.

The spelling of 41866960 in words is "forty-one million, eight hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 73 80 107 134 146 214 268 292 335 365 428 535 536 584 670 730 856 1070 1072 1168 1340 1460 1712 2140 2680 2920 4280 4891 5360 5840 7169 7811 8560 9782 14338 15622 19564 24455 28676 31244 35845 39055 39128 48910 57352 62488 71690 78110 78256 97820 114704 124976 143380 156220 195640 286760 312440 391280 523337 573520 624880 1046674 2093348 2616685 4186696 5233370 8373392 10466740 20933480 41866960