Search a number
-
+
41163690 = 23519257281
BaseRepresentation
bin1001110100000…
…1101110101010
32212110022222010
42131001232222
541014214230
64030140350
71006612521
oct235015652
985408863
1041163690
1121265987
12119516b6
1386b3419
1456774b8
1539319b0
hex2741baa

41163690 has 64 divisors (see below), whose sum is σ = 104768640. Its totient is φ = 10321920.

The previous prime is 41163679. The next prime is 41163697. The reversal of 41163690 is 9636114.

41163690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×411636902 = 3388898748832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41163697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146350 + ... + 146630.

It is an arithmetic number, because the mean of its divisors is an integer number (1637010).

Almost surely, 241163690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41163690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52384320).

41163690 is an abundant number, since it is smaller than the sum of its proper divisors (63604950).

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

41163690 is a wasteful number, since it uses less digits than its factorization.

41163690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 41163690 is about 6415.8935464984. The cubic root of 41163690 is about 345.2800079240.

The spelling of 41163690 in words is "forty-one million, one hundred sixty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 257 281 285 514 562 570 771 843 1285 1405 1542 1686 2570 2810 3855 4215 4883 5339 7710 8430 9766 10678 14649 16017 24415 26695 29298 32034 48830 53390 72217 73245 80085 144434 146490 160170 216651 361085 433302 722170 1083255 1372123 2166510 2744246 4116369 6860615 8232738 13721230 20581845 41163690