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41230560 = 2535721753
BaseRepresentation
bin1001110101001…
…0000011100000
32212120201200210
42131102003200
541023334220
64031414120
71010311500
oct235220340
985521623
1041230560
1121301148
1211984340
1387079a7
145693a00
1539466e0
hex27520e0

41230560 has 144 divisors (see below), whose sum is σ = 151166736. Its totient is φ = 9418752.

The previous prime is 41230549. The next prime is 41230573. The reversal of 41230560 is 6503214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 22644 + ... + 24396.

It is an arithmetic number, because the mean of its divisors is an integer number (1049769).

Almost surely, 241230560 is an apocalyptic number.

41230560 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 41230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75583368).

41230560 is an abundant number, since it is smaller than the sum of its proper divisors (109936176).

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

41230560 is a wasteful number, since it uses less digits than its factorization.

41230560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 41230560 is about 6421.1027090368. The cubic root of 41230560 is about 345.4668747383.

Adding to 41230560 its reverse (6503214), we get a palindrome (47733774).

The spelling of 41230560 in words is "forty-one million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1753 1960 2352 2940 3360 3506 3920 4704 5259 5880 7012 7840 8765 10518 11760 12271 14024 17530 21036 23520 24542 26295 28048 35060 36813 42072 49084 52590 56096 61355 70120 73626 84144 85897 98168 105180 122710 140240 147252 168288 171794 184065 196336 210360 245420 257691 280480 294504 343588 368130 392672 420720 429485 490840 515382 589008 687176 736260 841440 858970 981680 1030764 1178016 1288455 1374352 1472520 1717940 1963360 2061528 2576910 2748704 2945040 3435880 4123056 5153820 5890080 6871760 8246112 10307640 13743520 20615280 41230560