Base | Representation |
---|---|
bin | 111111110100100… |
… | …111010001000000 |
3 | 2202121211002101000 |
4 | 333310213101000 |
5 | 4143103210203 |
6 | 254130012000 |
7 | 35351166213 |
oct | 7764472100 |
9 | 2677732330 |
10 | 1070756928 |
11 | 4aa46158a |
12 | 25a717000 |
13 | 140ab23a7 |
14 | a22c977a |
15 | 6400b4a3 |
hex | 3fd27440 |
1070756928 has 112 divisors (see below), whose sum is σ = 3171504960. Its totient is φ = 354235392.
The previous prime is 1070756923. The next prime is 1070756971. The reversal of 1070756928 is 8296570701.
1070756928 is a `hidden beast` number, since 10 + 70 + 7 + 569 + 2 + 8 = 666.
1070756928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10707569282 = 2293040797719994368, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1070756923) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234475 + ... + 238997.
Almost surely, 21070756928 is an apocalyptic number.
1070756928 is a gapful number since it is divisible by the number (18) 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 1070756928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585752480).
1070756928 is an abundant number, since it is smaller than the sum of its proper divisors (2100748032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1070756928 is a wasteful number, since it uses less digits than its factorization.
1070756928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4681 (or 4665 counting only the distinct ones).
The product of its (nonzero) digits is 211680, while the sum is 45.
The square root of 1070756928 is about 32722.4224042170. The cubic root of 1070756928 is about 1023.0502464979.
It can be divided in two parts, 107075 and 6928, that added together give a triangular number (114003 = T477).
The spelling of 1070756928 in words is "one billion, seventy million, seven hundred fifty-six thousand, nine hundred twenty-eight".
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