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92196 = 223213197
BaseRepresentation
bin10110100000100100
311200110200
4112200210
510422241
61550500
7532536
oct264044
9150420
1092196
11632a5
1245430
1332c70
1425856
151c4b6
hex16824

92196 has 36 divisors (see below), whose sum is σ = 252252. Its totient is φ = 28224.

The previous prime is 92189. The next prime is 92203. The reversal of 92196 is 69129.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (92189) and next prime (92203).

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 34596 = 240^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92196.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (7007).

292196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126126).

92196 is an abundant number, since it is smaller than the sum of its proper divisors (160056).

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

92196 is a wasteful number, since it uses less digits than its factorization.

92196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 92196 is about 303.6379422931. The cubic root of 92196 is about 45.1756100958.

The spelling of 92196 in words is "ninety-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 468 591 788 1182 1773 2364 2561 3546 5122 7092 7683 10244 15366 23049 30732 46098 92196