| Base | Representation |
|---|---|
| bin | 100101101010111… |
| … | …1100111001110000 |
| 3 | 10021002112011200200 |
| 4 | 1023111330321300 |
| 5 | 10042043430210 |
| 6 | 325232515200 |
| 7 | 43216132242 |
| oct | 11325747160 |
| 9 | 3232464620 |
| 10 | 1264045680 |
| 11 | 599580257 |
| 12 | 2b33abb00 |
| 13 | 171b59a31 |
| 14 | bdc42092 |
| 15 | 75e8c0c0 |
| hex | 4b57ce70 |
1264045680 has 120 divisors (see below), whose sum is σ = 4468560720. Its totient is φ = 319334400.
The previous prime is 1264045667. The next prime is 1264045681. The reversal of 1264045680 is 865404621.
1264045680 is a `hidden beast` number, since 1 + 2 + 640 + 4 + 5 + 6 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×12640456802 = 3195622962253324800, 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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (1264045681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32521 + ... + 59880.
It is an arithmetic number, because the mean of its divisors is an integer number (37238006).
Almost surely, 21264045680 is an apocalyptic number.
1264045680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1264045680 is an abundant number, since it is smaller than the sum of its proper divisors (3204515040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1264045680 is a wasteful number, since it uses less digits than its factorization.
1264045680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92439 (or 92430 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 1264045680 is about 35553.4200886497. The cubic root of 1264045680 is about 1081.2370598650.
The spelling of 1264045680 in words is "one billion, two hundred sixty-four million, forty-five thousand, six hundred eighty".
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