Base | Representation |
---|---|
bin | 100001101110111… |
… | …0011110100100000 |
3 | 2220212211212022020 |
4 | 1003131303310200 |
5 | 4304230403104 |
6 | 304152141440 |
7 | 40022613510 |
oct | 10335636440 |
9 | 2825755266 |
10 | 1131887904 |
11 | 530a15154 |
12 | 277097880 |
13 | 150667074 |
14 | aa47d840 |
15 | 695842d9 |
hex | 43773d20 |
1131887904 has 96 divisors (see below), whose sum is σ = 3410709120. Its totient is φ = 321964032.
The previous prime is 1131887873. The next prime is 1131887923. The reversal of 1131887904 is 4097881311.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152962 + ... + 160190.
It is an arithmetic number, because the mean of its divisors is an integer number (35528220).
Almost surely, 21131887904 is an apocalyptic number.
1131887904 is a gapful number since it is divisible by the number (14) 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 1131887904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705354560).
1131887904 is an abundant number, since it is smaller than the sum of its proper divisors (2278821216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131887904 is a wasteful number, since it uses less digits than its factorization.
1131887904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7482 (or 7474 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 42.
The square root of 1131887904 is about 33643.5417873921. The cubic root of 1131887904 is about 1042.1601747081.
The spelling of 1131887904 in words is "one billion, one hundred thirty-one million, eight hundred eighty-seven thousand, nine hundred four".
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