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41720000 = 26547149
BaseRepresentation
bin1001111100100…
…1100011000000
32220111121002012
42133021203000
541140020000
64050112052
71014420440
oct237114300
986447065
1041720000
1121605943
1211b7b628
1388496ba
145780120
1539e1735
hex27c98c0

41720000 has 140 divisors (see below), whose sum is σ = 119024400. Its totient is φ = 14208000.

The previous prime is 41719927. The next prime is 41720051. The reversal of 41720000 is 2714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279926 + ... + 280074.

Almost surely, 241720000 is an apocalyptic number.

41720000 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 41720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512200).

41720000 is an abundant number, since it is smaller than the sum of its proper divisors (77304400).

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

41720000 is an equidigital number, since it uses as much as digits as its factorization.

41720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 41720000 is about 6459.1021047821. The cubic root of 41720000 is about 346.8284911807.

Adding to 41720000 its reverse (2714), we get a palindrome (41722714).

The spelling of 41720000 in words is "forty-one million, seven hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 149 160 175 200 224 250 280 298 320 350 400 448 500 560 596 625 700 745 800 875 1000 1043 1120 1192 1250 1400 1490 1600 1750 2000 2086 2240 2384 2500 2800 2980 3500 3725 4000 4172 4375 4768 5000 5215 5600 5960 7000 7450 8000 8344 8750 9536 10000 10430 11200 11920 14000 14900 16688 17500 18625 20000 20860 23840 26075 28000 29800 33376 35000 37250 40000 41720 47680 52150 56000 59600 66752 70000 74500 83440 93125 104300 119200 130375 140000 149000 166880 186250 208600 238400 260750 280000 298000 333760 372500 417200 521500 596000 651875 745000 834400 1043000 1192000 1303750 1490000 1668800 2086000 2607500 2980000 4172000 5215000 5960000 8344000 10430000 20860000 41720000