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41160420 = 22335710889
BaseRepresentation
bin1001110100000…
…0111011100100
32212110011111000
42131000323210
541014113140
64030113300
71006600140
oct235007344
985404430
1041160420
1121263484
121194b830
1386b1aa2
145676220
153930a30
hex2740ee4

41160420 has 96 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 9407232.

The previous prime is 41160419. The next prime is 41160437. The reversal of 41160420 is 2406114.

41160420 is a `hidden beast` number, since 41 + 1 + 604 + 20 = 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 = 41160393 and 41160402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665 + ... + 9224.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 241160420 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 41160420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

41160420 is an abundant number, since it is smaller than the sum of its proper divisors (105201180).

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

41160420 is a wasteful number, since it uses less digits than its factorization.

41160420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10906 counting only the distinct ones).

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

The square root of 41160420 is about 6415.6387055382. The cubic root of 41160420 is about 345.2708647890.

Adding to 41160420 its reverse (2406114), we get a palindrome (43566534).

It can be divided in two parts, 41 and 160420, that added together give a triangular number (160461 = T566).

The spelling of 41160420 in words is "forty-one million, one hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 10889 21778 32667 43556 54445 65334 76223 98001 108890 130668 152446 163335 196002 217780 228669 294003 304892 326670 381115 392004 457338 490005 588006 653340 686007 762230 914676 980010 1143345 1176012 1372014 1470015 1524460 1960020 2058021 2286690 2744028 2940030 3430035 4116042 4573380 5880060 6860070 8232084 10290105 13720140 20580210 41160420