Base | Representation |
---|---|
bin | 100110000100… |
… | …0100010001000 |
3 | 1101112222002100 |
4 | 1030020202020 |
5 | 20102123041 |
6 | 1551433400 |
7 | 331432200 |
oct | 114104210 |
9 | 41488070 |
10 | 19957896 |
11 | 102a1732 |
12 | 6825860 |
13 | 419a20a |
14 | 2917400 |
15 | 1b436b6 |
hex | 1308888 |
19957896 has 72 divisors (see below), whose sum is σ = 62888670. Its totient is φ = 5701248.
The previous prime is 19957879. The next prime is 19957897. The reversal of 19957896 is 69875991.
It can be written as a sum of positive squares in only one way, i.e., 19448100 + 509796 = 4410^2 + 714^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×199578962 = 796635225493632, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (19957897) 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 17 ways as a sum of consecutive naturals, for example, 700 + ... + 6356.
Almost surely, 219957896 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 19957896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31444335).
19957896 is an abundant number, since it is smaller than the sum of its proper divisors (42930774).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19957896 is a wasteful number, since it uses less digits than its factorization.
19957896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5683 (or 5669 counting only the distinct ones).
The product of its digits is 1224720, while the sum is 54.
The square root of 19957896 is about 4467.4261045931. The cubic root of 19957896 is about 271.2511481047.
The spelling of 19957896 in words is "nineteen million, nine hundred fifty-seven thousand, eight hundred ninety-six".
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