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40137 = 317787
BaseRepresentation
bin1001110011001001
32001001120
421303021
52241022
6505453
7225006
oct116311
961046
1040137
1128179
121b289
1315366
14108ad
15bd5c
hex9cc9

40137 has 8 divisors (see below), whose sum is σ = 56736. Its totient is φ = 25152.

The previous prime is 40129. The next prime is 40151. The reversal of 40137 is 73104.

40137 is nontrivially palindromic in base 16.

40137 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 40137 - 23 = 40129 is a prime.

It is a super-2 number, since 2×401372 = 3221957538, 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 40137.

It is not an unprimeable number, because it can be changed into a prime (40127) 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, 343 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (7092).

240137 is an apocalyptic number.

It is an amenable number.

40137 is a deficient number, since it is larger than the sum of its proper divisors (16599).

40137 is a wasteful number, since it uses less digits than its factorization.

40137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 40137 is about 200.3422072355. The cubic root of 40137 is about 34.2385188932.

The spelling of 40137 in words is "forty thousand, one hundred thirty-seven".

Divisors: 1 3 17 51 787 2361 13379 40137