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41161068 = 223313191543
BaseRepresentation
bin1001110100000…
…1000101101100
32212110012101000
42131001011230
541014123233
64030120300
71006602054
oct235010554
985405330
1041161068
1121263a13
1211950090
1386b2180
145676564
153930d13
hex274116c

41161068 has 96 divisors (see below), whose sum is σ = 121049600. Its totient is φ = 11990592.

The previous prime is 41161061. The next prime is 41161069. The reversal of 41161068 is 86016114.

41161068 is a `hidden beast` number, since 41 + 1 + 610 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41161061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25905 + ... + 27447.

Almost surely, 241161068 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 41161068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60524800).

41161068 is an abundant number, since it is smaller than the sum of its proper divisors (79888532).

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

41161068 is a wasteful number, since it uses less digits than its factorization.

41161068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41161068 is about 6415.6892069364. The cubic root of 41161068 is about 345.2726766781.

It can be divided in two parts, 4116106 and 8, that added together give a palindrome (4116114).

The spelling of 41161068 in words is "forty-one million, one hundred sixty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 1543 2052 2223 2964 3086 4446 4629 6172 6669 8892 9258 13338 13887 18516 20059 26676 27774 29317 40118 41661 55548 58634 60177 80236 83322 87951 117268 120354 166644 175902 180531 240708 263853 351804 361062 381121 527706 541593 722124 762242 791559 1055412 1083186 1143363 1524484 1583118 2166372 2286726 3166236 3430089 4573452 6860178 10290267 13720356 20580534 41161068