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41221320 = 23357311583
BaseRepresentation
bin1001110100111…
…1110011001000
32212120021000120
42131033303020
541023040240
64031303240
71010242530
oct235176310
985507016
1041221320
11212a5208
121197ab20
13870371a
1456904c0
153943ad0
hex274fcc8

41221320 has 128 divisors (see below), whose sum is σ = 145981440. Its totient is φ = 9112320.

The previous prime is 41221319. The next prime is 41221357. The reversal of 41221320 is 2312214.

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 41221320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25249 + ... + 26831.

It is an arithmetic number, because the mean of its divisors is an integer number (1140480).

Almost surely, 241221320 is an apocalyptic number.

41221320 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 41221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72990720).

41221320 is an abundant number, since it is smaller than the sum of its proper divisors (104760120).

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

41221320 is a wasteful number, since it uses less digits than its factorization.

41221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41221320 is about 6420.3831661358. The cubic root of 41221320 is about 345.4410657881.

Adding to 41221320 its reverse (2312214), we get a palindrome (43533534).

The spelling of 41221320 in words is "forty-one million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1583 1736 1860 2170 2604 3166 3255 3720 4340 4749 5208 6332 6510 7915 8680 9498 11081 12664 13020 15830 18996 22162 23745 26040 31660 33243 37992 44324 47490 49073 55405 63320 66486 88648 94980 98146 110810 132972 147219 166215 189960 196292 221620 245365 265944 294438 332430 343511 392584 443240 490730 588876 664860 687022 736095 981460 1030533 1177752 1329720 1374044 1472190 1717555 1962920 2061066 2748088 2944380 3435110 4122132 5152665 5888760 6870220 8244264 10305330 13740440 20610660 41221320