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41070000 = 24354372
BaseRepresentation
bin1001110010101…
…0110110110000
32212021120110010
42130222312300
541003220000
64024134520
71006042416
oct234526660
985246403
1041070000
1121201554
1211907440
13867c89a
1456512b6
153913d50
hex272adb0

41070000 has 150 divisors (see below), whose sum is σ = 136259508. Its totient is φ = 10656000.

The previous prime is 41069993. The next prime is 41070017. The reversal of 41070000 is 7014.

41070000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1109982 + ... + 1110018.

Almost surely, 241070000 is an apocalyptic number.

41070000 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 41070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68129754).

41070000 is an abundant number, since it is smaller than the sum of its proper divisors (95189508).

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

41070000 is an equidigital number, since it uses as much as digits as its factorization.

41070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 41070000 is about 6408.5879880048. The cubic root of 41070000 is about 345.0178524683.

Multiplying 41070000 by its sum of digits (12), we get a square (492840000 = 222002).

41070000 divided by its sum of digits (12) gives a square (3422500 = 18502).

Adding to 41070000 its reverse (7014), we get a palindrome (41077014).

The spelling of 41070000 in words is "forty-one million, seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 625 740 750 888 925 1000 1110 1200 1250 1369 1480 1500 1776 1850 1875 2000 2220 2500 2738 2775 2960 3000 3700 3750 4107 4440 4625 5000 5476 5550 6000 6845 7400 7500 8214 8880 9250 10000 10952 11100 13690 13875 14800 15000 16428 18500 20535 21904 22200 23125 27380 27750 30000 32856 34225 37000 41070 44400 46250 54760 55500 65712 68450 69375 74000 82140 92500 102675 109520 111000 136900 138750 164280 171125 185000 205350 222000 273800 277500 328560 342250 370000 410700 513375 547600 555000 684500 821400 855625 1026750 1110000 1369000 1642800 1711250 2053500 2566875 2738000 3422500 4107000 5133750 6845000 8214000 10267500 13690000 20535000 41070000