| Base | Representation |
|---|---|
| bin | 101001001011011… |
| … | …0110110001000000 |
| 3 | 10120021221210220100 |
| 4 | 1102112312301000 |
| 5 | 10312210120300 |
| 6 | 345035042400 |
| 7 | 46145311344 |
| oct | 12226666100 |
| 9 | 3507853810 |
| 10 | 1381723200 |
| 11 | 649a46100 |
| 12 | 3268a0400 |
| 13 | 19034c7c0 |
| 14 | d1715624 |
| 15 | 81484700 |
| hex | 525b6c40 |
1381723200 has 756 divisors, whose sum is σ = 5908539364. Its totient is φ = 304128000.
The previous prime is 1381723199. The next prime is 1381723201. The reversal of 1381723200 is 23271831.
It is an interprime number because it is at equal distance from previous prime (1381723199) and next prime (1381723201).
It can be written as a sum of positive squares in 6 ways, for example, as 491774976 + 889948224 = 22176^2 + 29832^2 .
It is a super-3 number, since 3×13817232003 (a number of 28 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1381723201) 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 107 ways as a sum of consecutive naturals, for example, 22651170 + ... + 22651230.
Almost surely, 21381723200 is an apocalyptic number.
1381723200 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 1381723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954269682).
1381723200 is an abundant number, since it is smaller than the sum of its proper divisors (4526816164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1381723200 is a wasteful number, since it uses less digits than its factorization.
1381723200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 1381723200 is about 37171.5374984678. The cubic root of 1381723200 is about 1113.7994948283.
The spelling of 1381723200 in words is "one billion, three hundred eighty-one million, seven hundred twenty-three thousand, two hundred".
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