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41120000 = 2854257
BaseRepresentation
bin1001110011011…
…1000100000000
32212101010000222
42130313010000
541011320000
64025202212
71006341245
oct234670400
985333028
1041120000
1121236079
1211930368
13869957c
1456655cc
153923a85
hex2737100

41120000 has 90 divisors (see below), whose sum is σ = 102965478. Its totient is φ = 16384000.

The previous prime is 41119979. The next prime is 41120003. The reversal of 41120000 is 2114.

It can be written as a sum of positive squares in 5 ways, for example, as 4734976 + 36385024 = 2176^2 + 6032^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 41120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159872 + ... + 160128.

Almost surely, 241120000 is an apocalyptic number.

41120000 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 41120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51482739).

41120000 is an abundant number, since it is smaller than the sum of its proper divisors (61845478).

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

41120000 is an frugal number, since it uses more digits than its factorization.

41120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 41120000 is about 6412.4878167526. The cubic root of 41120000 is about 345.1578078027.

Adding to 41120000 its reverse (2114), we get a palindrome (41122114).

The spelling of 41120000 in words is "forty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 257 320 400 500 514 625 640 800 1000 1028 1250 1280 1285 1600 2000 2056 2500 2570 3200 4000 4112 5000 5140 6400 6425 8000 8224 10000 10280 12850 16000 16448 20000 20560 25700 32000 32125 32896 40000 41120 51400 64250 65792 80000 82240 102800 128500 160000 160625 164480 205600 257000 321250 328960 411200 514000 642500 822400 1028000 1285000 1644800 2056000 2570000 4112000 5140000 8224000 10280000 20560000 41120000