Search a number
37014 = 2331199
BaseRepresentation
bin1001000010010110
31212202220
421002112
52141024
6443210
7212625
oct110226
955686
1037014
112589a
1219506
1313b03
14d6bc
15ae79
hex9096

37014 has 16 divisors (see below), whose sum is σ = 76800. Its totient is φ = 11880.

The previous prime is 37013. The next prime is 37019. The reversal of 37014 is 41073.

It is a plaindrome in base 11.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 36984 and 37002.

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 37014.

It is not an unprimeable number, because it can be changed into a prime (37013) 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, 87 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (4800).

237014 is an apocalyptic number.

37014 is an abundant number, since it is smaller than the sum of its proper divisors (39786).

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 (38400).

37014 is a wasteful number, since it uses less digits than its factorization.

37014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235.

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

The square root of 37014 is about 192.3902284421. The cubic root of 37014 is about 33.3264207888.

Adding to 37014 its reverse (41073), we get a palindrome (78087).

The spelling of 37014 in words is "thirty-seven thousand, fourteen".