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41605020 = 22325376247
BaseRepresentation
bin1001111010110…
…1011110011100
32220021202100200
42132231132130
541122330040
64043423500
71013431302
oct236553634
986252320
1041605020
1121537516
1211b24b90
138809272
145750272
1539bc630
hex27ad79c

41605020 has 72 divisors (see below), whose sum is σ = 129633504. Its totient is φ = 10793088.

The previous prime is 41605013. The next prime is 41605043. The reversal of 41605020 is 2050614.

It is a happy number.

41605020 is a `hidden beast` number, since 4 + 160 + 502 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41604984 and 41605002.

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, 3537 + ... + 9783.

Almost surely, 241605020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41605020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64816752).

41605020 is an abundant number, since it is smaller than the sum of its proper divisors (88028484).

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

41605020 is a wasteful number, since it uses less digits than its factorization.

41605020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 41605020 is about 6450.1953458791. The cubic root of 41605020 is about 346.5095791409.

Adding to 41605020 its reverse (2050614), we get a palindrome (43655634).

It can be divided in two parts, 4160 and 5020, that added together give a triangular number (9180 = T135).

The spelling of 41605020 in words is "forty-one million, six hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6247 6660 12494 18741 24988 31235 37482 56223 62470 74964 93705 112446 124940 187410 224892 231139 281115 374820 462278 562230 693417 924556 1124460 1155695 1386834 2080251 2311390 2773668 3467085 4160502 4622780 6934170 8321004 10401255 13868340 20802510 41605020