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40542160 = 2452292213
BaseRepresentation
bin1001101010100…
…1111111010000
32211021202101111
42122221333100
540334322120
64004543104
71001413501
oct232517720
984252344
1040542160
1120980a1a
12116b1a94
138526559
145554ba8
15385c75a
hex26a9fd0

40542160 has 40 divisors (see below), whose sum is σ = 94714920. Its totient is φ = 16138752.

The previous prime is 40542119. The next prime is 40542167. The reversal of 40542160 is 6124504.

It can be written as a sum of positive squares in 4 ways, for example, as 26132544 + 14409616 = 5112^2 + 3796^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40542167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17214 + ... + 19426.

It is an arithmetic number, because the mean of its divisors is an integer number (2367873).

Almost surely, 240542160 is an apocalyptic number.

40542160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40542160 is an abundant number, since it is smaller than the sum of its proper divisors (54172760).

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

40542160 is a wasteful number, since it uses less digits than its factorization.

40542160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 40542160 is about 6367.2725715176. The cubic root of 40542160 is about 343.5333947801.

Adding to 40542160 its reverse (6124504), we get a palindrome (46666664).

The spelling of 40542160 in words is "forty million, five hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2213 2290 3664 4426 4580 8852 9160 11065 17704 18320 22130 35408 44260 88520 177040 506777 1013554 2027108 2533885 4054216 5067770 8108432 10135540 20271080 40542160