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37096 = 234637
BaseRepresentation
bin1001000011101000
31212212221
421003220
52141341
6443424
7213103
oct110350
955787
1037096
1125964
1219574
1313b67
14d73a
15aed1
hex90e8

37096 has 8 divisors (see below), whose sum is σ = 69570. Its totient is φ = 18544.

The previous prime is 37087. The next prime is 37097. The reversal of 37096 is 69073.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 2500 = 186^2 + 50^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×370962 = 2752226432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37096.

It is not an unprimeable number, because it can be changed into a prime (37097) by changing a digit.

37096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2311 + ... + 2326.

237096 is an apocalyptic number.

It is an amenable number.

37096 is a deficient number, since it is larger than the sum of its proper divisors (32474).

37096 is a wasteful number, since it uses less digits than its factorization.

37096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 37096 is about 192.6032190801. The cubic root of 37096 is about 33.3510128436.

The spelling of 37096 in words is "thirty-seven thousand, ninety-six".

Divisors: 1 2 4 8 4637 9274 18548 37096