Base | Representation |
---|---|
bin | 111110111111111… |
… | …100000100000000 |
3 | 2201122211112202000 |
4 | 332333330010000 |
5 | 4131034322410 |
6 | 252514024000 |
7 | 35122625310 |
oct | 7677740400 |
9 | 2648745660 |
10 | 1056948480 |
11 | 4a2690045 |
12 | 255b78000 |
13 | 13ac89203 |
14 | a0533440 |
15 | 62bcedc0 |
hex | 3effc100 |
1056948480 has 576 divisors, whose sum is σ = 4556321280. Its totient is φ = 226492416.
The previous prime is 1056948469. The next prime is 1056948493. The reversal of 1056948480 is 848496501.
1056948480 = T59 + T60 + ... + T1850.
1056948480 is a `hidden beast` number, since 1 + 0 + 569 + 4 + 8 + 4 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×10569484802 = 2234280178748620800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112512 + ... + 4112768.
It is an arithmetic number, because the mean of its divisors is an integer number (7910280).
Almost surely, 21056948480 is an apocalyptic number.
1056948480 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 1056948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278160640).
1056948480 is an abundant number, since it is smaller than the sum of its proper divisors (3499372800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1056948480 is a wasteful number, since it uses less digits than its factorization.
1056948480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 311 (or 291 counting only the distinct ones).
The product of its (nonzero) digits is 276480, while the sum is 45.
The square root of 1056948480 is about 32510.7440702301. The cubic root of 1056948480 is about 1018.6334641311.
It can be divided in two parts, 10569 and 48480, that added together give a 10-th power (59049 = 310).
The spelling of 1056948480 in words is "one billion, fifty-six million, nine hundred forty-eight thousand, four hundred eighty".
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