| Base | Representation |
|---|---|
| bin | 111110101101000… |
| … | …101101101100000 |
| 3 | 2201022112111200000 |
| 4 | 332231011231200 |
| 5 | 4123303213024 |
| 6 | 252220100000 |
| 7 | 35032625400 |
| oct | 7655055540 |
| 9 | 2638474600 |
| 10 | 1052007264 |
| 11 | 49a9156a0 |
| 12 | 254394600 |
| 13 | 139c49109 |
| 14 | 9da08800 |
| 15 | 62555cc9 |
| hex | 3eb45b60 |
1052007264 has 432 divisors, whose sum is σ = 3952742976. Its totient is φ = 272160000.
The previous prime is 1052007263. The next prime is 1052007301. The reversal of 1052007264 is 4627002501.
1052007264 is a `hidden beast` number, since 10 + 520 + 0 + 72 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×10520072642 = 2213438567017531392, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1052007263) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4191139 + ... + 4191389.
It is an arithmetic number, because the mean of its divisors is an integer number (9149868).
Almost surely, 21052007264 is an apocalyptic number.
1052007264 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 1052007264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976371488).
1052007264 is an abundant number, since it is smaller than the sum of its proper divisors (2900735712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1052007264 is a wasteful number, since it uses less digits than its factorization.
1052007264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 301 (or 274 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The square root of 1052007264 is about 32434.6614596175. The cubic root of 1052007264 is about 1017.0436193994.
Adding to 1052007264 its reverse (4627002501), we get a palindrome (5679009765).
The spelling of 1052007264 in words is "one billion, fifty-two million, seven thousand, two hundred sixty-four".
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