Base | Representation |
---|---|
bin | 111110110000110… |
… | …010011000000000 |
3 | 2201101100202101211 |
4 | 332300302120000 |
5 | 4124030223030 |
6 | 252252535504 |
7 | 35044103512 |
oct | 7660623000 |
9 | 2641322354 |
10 | 1052976640 |
11 | 4a0417a31 |
12 | 254781594 |
13 | 13a1c8401 |
14 | 9dbbbbb2 |
15 | 6269812a |
hex | 3ec32600 |
1052976640 has 80 divisors (see below), whose sum is σ = 2536712640. Its totient is φ = 419184640.
The previous prime is 1052976607. The next prime is 1052976643. The reversal of 1052976640 is 466792501.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×10529766402 = 2217519608771379200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 1052976593 and 1052976602.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1052976643) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610980 + ... + 612700.
It is an arithmetic number, because the mean of its divisors is an integer number (31708908).
Almost surely, 21052976640 is an apocalyptic number.
1052976640 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 1052976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268356320).
1052976640 is an abundant number, since it is smaller than the sum of its proper divisors (1483736000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1052976640 is an equidigital number, since it uses as much as digits as its factorization.
1052976640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1983 (or 1967 counting only the distinct ones).
The product of its (nonzero) digits is 90720, while the sum is 40.
The square root of 1052976640 is about 32449.6015383856. The cubic root of 1052976640 is about 1017.3559097053.
The spelling of 1052976640 in words is "one billion, fifty-two million, nine hundred seventy-six thousand, six hundred forty".
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