Base | Representation |
---|---|
bin | 111111110101010… |
… | …011001001000000 |
3 | 2202122011012220000 |
4 | 333311103021000 |
5 | 4143124433030 |
6 | 254133520000 |
7 | 35352545154 |
oct | 7765231100 |
9 | 2678135800 |
10 | 1070936640 |
11 | 4aa574604 |
12 | 25a7a3000 |
13 | 140b46127 |
14 | a2335064 |
15 | 64044860 |
hex | 3fd53240 |
1070936640 has 280 divisors, whose sum is σ = 3865107840. Its totient is φ = 281428992.
The previous prime is 1070936623. The next prime is 1070936677. The reversal of 1070936640 is 466390701.
1070936640 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 9 + 3 + 6 + 640 = 666.
1070936640 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 2×10709366402 = 2293810573788979200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1070936595 and 1070936604.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2047419 + ... + 2047941.
Almost surely, 21070936640 is an apocalyptic number.
1070936640 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 1070936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932553920).
1070936640 is an abundant number, since it is smaller than the sum of its proper divisors (2794171200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1070936640 is an equidigital number, since it uses as much as digits as its factorization.
1070936640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 631 (or 612 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 1070936640 is about 32725.1682959767. The cubic root of 1070936640 is about 1023.1074783234.
The spelling of 1070936640 in words is "one billion, seventy million, nine hundred thirty-six thousand, six hundred forty".
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