Search a number
-
+
41530160 = 245774161
BaseRepresentation
bin1001111001101…
…1001100110000
32220010221200002
42132123030300
541112431120
64042045132
71013000120
oct236331460
986127602
1041530160
1121496251
1211aa97a8
1387b1179
145730c80
1539a5375
hex279b330

41530160 has 40 divisors (see below), whose sum is σ = 110353056. Its totient is φ = 14238720.

The previous prime is 41530141. The next prime is 41530163. The reversal of 41530160 is 6103514.

41530160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41530163) 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 7 ways as a sum of consecutive naturals, for example, 36521 + ... + 37640.

Almost surely, 241530160 is an apocalyptic number.

41530160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41530160 is an abundant number, since it is smaller than the sum of its proper divisors (68822896).

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

41530160 is a wasteful number, since it uses less digits than its factorization.

41530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74181 (or 74175 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 41530160 is about 6444.3898081975. The cubic root of 41530160 is about 346.3016292312.

Adding to 41530160 its reverse (6103514), we get a palindrome (47633674).

The spelling of 41530160 in words is "forty-one million, five hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 74161 148322 296644 370805 519127 593288 741610 1038254 1186576 1483220 2076508 2595635 2966440 4153016 5191270 5932880 8306032 10382540 20765080 41530160