| Base | Representation |
|---|---|
| bin | 100101010101101… |
| … | …0010110110000000 |
| 3 | 10020022111001102200 |
| 4 | 1022223102312000 |
| 5 | 10031213111420 |
| 6 | 324153113200 |
| 7 | 43022106600 |
| oct | 11253226600 |
| 9 | 3208431380 |
| 10 | 1252863360 |
| 11 | 593232871 |
| 12 | 2ab6b8800 |
| 13 | 16c742c88 |
| 14 | bc570c00 |
| 15 | 74ecdb90 |
| hex | 4aad2d80 |
1252863360 has 576 divisors, whose sum is σ = 5278646880. Its totient is φ = 272498688.
The previous prime is 1252863347. The next prime is 1252863361. The reversal of 1252863360 is 633682521.
It is a happy number.
1252863360 is a `hidden beast` number, since 12 + 5 + 2 + 8 + 633 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-3 number, since 3×12528633603 (a number of 28 digits) contains 333 as substring.
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 (1252863361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6491424 + ... + 6491616.
Almost surely, 21252863360 is an apocalyptic number.
1252863360 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 1252863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639323440).
1252863360 is an abundant number, since it is smaller than the sum of its proper divisors (4025783520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1252863360 is a wasteful number, since it uses less digits than its factorization.
1252863360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 233 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 1252863360 is about 35395.8099215147. The cubic root of 1252863360 is about 1078.0392407147.
The spelling of 1252863360 in words is "one billion, two hundred fifty-two million, eight hundred sixty-three thousand, three hundred sixty".
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