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41014200 = 23352174021
BaseRepresentation
bin1001110001110…
…1001110111000
32212011201220110
42130131032320
540444423300
64023024320
71005420633
oct234351670
985151813
1041014200
1121173637
121189b0a0
138660376
145638c1a
153902550
hex271d3b8

41014200 has 96 divisors (see below), whose sum is σ = 134656560. Its totient is φ = 10291200.

The previous prime is 41014189. The next prime is 41014213. The reversal of 41014200 is 241014.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8190 + ... + 12210.

Almost surely, 241014200 is an apocalyptic number.

41014200 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 41014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67328280).

41014200 is an abundant number, since it is smaller than the sum of its proper divisors (93642360).

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

41014200 is a wasteful number, since it uses less digits than its factorization.

41014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 41014200 is about 6404.2329751501. The cubic root of 41014200 is about 344.8615281302.

Adding to 41014200 its reverse (241014), we get a palindrome (41255214).

It can be divided in two parts, 41014 and 200, that added together give a palindrome (41214).

The spelling of 41014200 in words is "forty-one million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 4021 5100 8042 10200 12063 16084 20105 24126 32168 40210 48252 60315 68357 80420 96504 100525 120630 136714 160840 201050 205071 241260 273428 301575 341785 402100 410142 482520 546856 603150 683570 804200 820284 1025355 1206300 1367140 1640568 1708925 2050710 2412600 2734280 3417850 4101420 5126775 6835700 8202840 10253550 13671400 20507100 41014200