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40760 = 2351019
BaseRepresentation
bin1001111100111000
32001220122
421330320
52301020
6512412
7226556
oct117470
961818
1040760
1128695
121b708
1315725
1410bd6
15c125
hex9f38

40760 has 16 divisors (see below), whose sum is σ = 91800. Its totient is φ = 16288.

The previous prime is 40759. The next prime is 40763. The reversal of 40760 is 6704.

It is a super-2 number, since 2×407602 = 3322755200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40760.

It is not an unprimeable number, because it can be changed into a prime (40763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470 + ... + 549.

240760 is an apocalyptic number.

40760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40760 is an abundant number, since it is smaller than the sum of its proper divisors (51040).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45900).

40760 is a wasteful number, since it uses less digits than its factorization.

40760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 40760 is about 201.8910597327. The cubic root of 40760 is about 34.4147584051.

The spelling of 40760 in words is "forty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1019 2038 4076 5095 8152 10190 20380 40760