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37098 = 234229
BaseRepresentation
bin1001000011101010
31212220000
421003222
52141343
6443430
7213105
oct110352
955800
1037098
1125966
1219576
1313b69
14d73c
15aed3
hex90ea

37098 has 20 divisors (see below), whose sum is σ = 83490. Its totient is φ = 12312.

The previous prime is 37097. The next prime is 37117. The reversal of 37098 is 89073.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 13689 = 153^2 + 117^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37098.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 48 + ... + 276.

237098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41745).

37098 is an abundant number, since it is smaller than the sum of its proper divisors (46392).

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

37098 is a wasteful number, since it uses less digits than its factorization.

37098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 37098 is about 192.6084110313. The cubic root of 37098 is about 33.3516121969.

The spelling of 37098 in words is "thirty-seven thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 458 687 1374 2061 4122 6183 12366 18549 37098