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41000520 = 23351189349
BaseRepresentation
bin1001110001100…
…1111001001000
32212011001010210
42130121321020
540444004040
64022441120
71005333021
oct234317110
985131123
1041000520
1121164330
12118931a0
138657082
145633c48
1538ed480
hex2719e48

41000520 has 128 divisors (see below), whose sum is σ = 136080000. Its totient is φ = 9799680.

The previous prime is 41000483. The next prime is 41000521. The reversal of 41000520 is 2500014.

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

It is a junction number, because it is equal to n+sod(n) for n = 41000496 and 41000505.

It is not an unprimeable number, because it can be changed into a prime (41000521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117306 + ... + 117654.

It is an arithmetic number, because the mean of its divisors is an integer number (1063125).

Almost surely, 241000520 is an apocalyptic number.

41000520 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 41000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040000).

41000520 is an abundant number, since it is smaller than the sum of its proper divisors (95079480).

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

41000520 is a wasteful number, since it uses less digits than its factorization.

41000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 41000520 is about 6403.1648424822. The cubic root of 41000520 is about 344.8231818150.

Adding to 41000520 its reverse (2500014), we get a palindrome (43500534).

The spelling of 41000520 in words is "forty-one million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 349 356 440 445 534 660 698 712 890 979 1047 1068 1320 1335 1396 1745 1780 1958 2094 2136 2670 2792 2937 3490 3560 3839 3916 4188 4895 5235 5340 5874 6980 7678 7832 8376 9790 10470 10680 11517 11748 13960 14685 15356 19195 19580 20940 23034 23496 29370 30712 31061 38390 39160 41880 46068 57585 58740 62122 76780 92136 93183 115170 117480 124244 153560 155305 186366 230340 248488 310610 341671 372732 460680 465915 621220 683342 745464 931830 1025013 1242440 1366684 1708355 1863660 2050026 2733368 3416710 3727320 4100052 5125065 6833420 8200104 10250130 13666840 20500260 41000520