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41102320 = 2457193863
BaseRepresentation
bin1001110011001…
…0101111110000
32212100012210011
42130302233300
541010233240
64024544304
71006235560
oct234625760
985305704
1041102320
1121223866
1211922094
1386914cc
14565cda0
15391d6ea
hex2732bf0

41102320 has 80 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 13347072.

The previous prime is 41102317. The next prime is 41102323. The reversal of 41102320 is 2320114.

It is an interprime number because it is at equal distance from previous prime (41102317) and next prime (41102323).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41102320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41102323) 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, 8709 + ... + 12571.

It is an arithmetic number, because the mean of its divisors is an integer number (1437408).

Almost surely, 241102320 is an apocalyptic number.

41102320 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 41102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

41102320 is an abundant number, since it is smaller than the sum of its proper divisors (73890320).

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

41102320 is a wasteful number, since it uses less digits than its factorization.

41102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 41102320 is about 6411.1091084149. The cubic root of 41102320 is about 345.1083325689.

Adding to 41102320 its reverse (2320114), we get a palindrome (43422434).

The spelling of 41102320 in words is "forty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 3863 5320 7726 10640 15452 19315 27041 30904 38630 54082 61808 73397 77260 108164 135205 146794 154520 216328 270410 293588 309040 366985 432656 513779 540820 587176 733970 1027558 1081640 1174352 1467940 2055116 2163280 2568895 2935880 4110232 5137790 5871760 8220464 10275580 20551160 41102320