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10201984 = 27136131
BaseRepresentation
bin100110111010…
…101110000000
3201012022111021
4212322232000
510102430414
61002355224
7152500252
oct46725600
921168437
1010201984
1158389a1
1234bbb14
1321627a0
1414d7cd2
15d67c24
hex9bab80

10201984 has 32 divisors (see below), whose sum is σ = 21891240. Its totient is φ = 4707840.

The previous prime is 10201963. The next prime is 10201987. The reversal of 10201984 is 48910201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1402 + ... + 4729.

Almost surely, 210201984 is an apocalyptic number.

It is an amenable number.

10201984 is an abundant number, since it is smaller than the sum of its proper divisors (11689256).

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

10201984 is an equidigital number, since it uses as much as digits as its factorization.

10201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 10201984 is about 3194.0544766801. The cubic root of 10201984 is about 216.8843487459.

The spelling of 10201984 in words is "ten million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 6131 12262 24524 49048 79703 98096 159406 196192 318812 392384 637624 784768 1275248 2550496 5100992 10201984