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29196 = 2232811
BaseRepresentation
bin111001000001100
31111001100
413020030
51413241
6343100
7151056
oct71014
944040
1029196
111aa32
1214a90
131039b
14a8d6
1589b6
hex720c

29196 has 18 divisors (see below), whose sum is σ = 73892. Its totient is φ = 9720.

The previous prime is 29191. The next prime is 29201. The reversal of 29196 is 69192.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29191) and next prime (29201).

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29196.

It is not an unprimeable number, because it can be changed into a prime (29191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 370 + ... + 441.

229196 is an apocalyptic number.

It is an amenable number.

29196 is an abundant number, since it is smaller than the sum of its proper divisors (44696).

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

29196 is a wasteful number, since it uses less digits than its factorization.

29196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

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

The square root of 29196 is about 170.8683703908. The cubic root of 29196 is about 30.7922283197.

Subtracting from 29196 its product of digits (972), we obtain a square (28224 = 1682).

It can be divided in two parts, 29 and 196, that added together give a square (225 = 152).

The spelling of 29196 in words is "twenty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 811 1622 2433 3244 4866 7299 9732 14598 29196