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41201640 = 23325193593
BaseRepresentation
bin1001110100101…
…0111111101000
32212112021000200
42131022333220
541021423030
64031032200
71010131254
oct235127750
985467020
1041201640
1121291447
121196b660
1386c778c
145687264
15393cd60
hex274afe8

41201640 has 96 divisors (see below), whose sum is σ = 134826120. Its totient is φ = 10911744.

The previous prime is 41201627. The next prime is 41201651. The reversal of 41201640 is 4610214.

41201640 is a `hidden beast` number, since 4 + 1 + 20 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30272004 + 10929636 = 5502^2 + 3306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 69184 + ... + 69776.

Almost surely, 241201640 is an apocalyptic number.

41201640 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 41201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67413060).

41201640 is an abundant number, since it is smaller than the sum of its proper divisors (93624480).

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

41201640 is a wasteful number, since it uses less digits than its factorization.

41201640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41201640 is about 6418.8503643565. The cubic root of 41201640 is about 345.3860832181.

Adding to 41201640 its reverse (4610214), we get a palindrome (45811854).

The spelling of 41201640 in words is "forty-one million, two hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 193 360 386 579 593 772 965 1158 1186 1544 1737 1779 1930 2316 2372 2895 2965 3474 3558 3860 4632 4744 5337 5790 5930 6948 7116 7720 8685 8895 10674 11580 11860 13896 14232 17370 17790 21348 23160 23720 26685 34740 35580 42696 53370 69480 71160 106740 114449 213480 228898 343347 457796 572245 686694 915592 1030041 1144490 1373388 1716735 2060082 2288980 2746776 3433470 4120164 4577960 5150205 6866940 8240328 10300410 13733880 20600820 41201640