[go: up one dir, main page]

Search a number
-
+
19975536 = 24327219149
BaseRepresentation
bin100110000110…
…0110101110000
31101120212021200
41030030311300
520103204121
61552051200
7331534500
oct114146560
941525250
1019975536
1110303a09
126833b00
1341a5259
14291da00
151b48a26
hex130cd70

19975536 has 180 divisors, whose sum is σ = 68913000. Its totient is φ = 5370624.

The previous prime is 19975531. The next prime is 19975537. The reversal of 19975536 is 63557991.

19975536 is a `hidden beast` number, since 1 + 9 + 97 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19975491 and 19975500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19975531) 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 35 ways as a sum of consecutive naturals, for example, 133990 + ... + 134138.

It is an arithmetic number, because the mean of its divisors is an integer number (382850).

Almost surely, 219975536 is an apocalyptic number.

19975536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19975536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34456500).

19975536 is an abundant number, since it is smaller than the sum of its proper divisors (48937464).

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

19975536 is a wasteful number, since it uses less digits than its factorization.

19975536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 19975536 is about 4469.3999597261. The cubic root of 19975536 is about 271.3310406483.

The spelling of 19975536 in words is "nineteen million, nine hundred seventy-five thousand, five hundred thirty-six".