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201996 = 223231181
BaseRepresentation
bin110001010100001100
3101021002100
4301110030
522430441
64155100
71500624
oct612414
9337070
10201996
11128843
1298a90
1370c32
1453884
153ecb6
hex3150c

201996 has 36 divisors (see below), whose sum is σ = 529984. Its totient is φ = 64800.

The previous prime is 201979. The next prime is 201997. The reversal of 201996 is 699102.

It is a happy number.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (201997) 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 11 ways as a sum of consecutive naturals, for example, 1026 + ... + 1206.

2201996 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 201996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264992).

201996 is an abundant number, since it is smaller than the sum of its proper divisors (327988).

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

201996 is a wasteful number, since it uses less digits than its factorization.

201996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

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

The square root of 201996 is about 449.4396511213. The cubic root of 201996 is about 58.6742557905.

It can be divided in two parts, 20 and 1996, that added together give a triangular number (2016 = T63).

The spelling of 201996 in words is "two hundred one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 181 186 279 362 372 543 558 724 1086 1116 1629 2172 3258 5611 6516 11222 16833 22444 33666 50499 67332 100998 201996