Base | Representation |
---|---|
bin | 100010110001011… |
… | …0110001110111100 |
3 | 10000022110200212020 |
4 | 1011202312032330 |
5 | 4342142403230 |
6 | 311435440140 |
7 | 40625215140 |
oct | 10542661674 |
9 | 3008420766 |
10 | 1166762940 |
11 | 5496752a2 |
12 | 2868b6050 |
13 | 157957c95 |
14 | b0d5b220 |
15 | 6c672810 |
hex | 458b63bc |
1166762940 has 96 divisors (see below), whose sum is σ = 3749458944. Its totient is φ = 265559040.
The previous prime is 1166762899. The next prime is 1166762941. The reversal of 1166762940 is 492676611.
1166762940 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×11667629402 = 2722671516314887200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 1166762892 and 1166762901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1166762941) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95457 + ... + 106983.
It is an arithmetic number, because the mean of its divisors is an integer number (39056864).
Almost surely, 21166762940 is an apocalyptic number.
1166762940 is a gapful number since it is divisible by the number (10) 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 1166762940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874729472).
1166762940 is an abundant number, since it is smaller than the sum of its proper divisors (2582696004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1166762940 is a wasteful number, since it uses less digits than its factorization.
1166762940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11787 (or 11785 counting only the distinct ones).
The product of its (nonzero) digits is 108864, while the sum is 42.
The square root of 1166762940 is about 34157.9118214214. The cubic root of 1166762940 is about 1052.7555558126.
The spelling of 1166762940 in words is "one billion, one hundred sixty-six million, seven hundred sixty-two thousand, nine hundred forty".
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