Base | Representation |
---|---|
bin | 101010001000111… |
… | …1101010010000000 |
3 | 10122112200022120100 |
4 | 1110101331102000 |
5 | 10343440243400 |
6 | 352150442400 |
7 | 50016514215 |
oct | 12421752200 |
9 | 3575608510 |
10 | 1413993600 |
11 | 666187358 |
12 | 335663400 |
13 | 196c3b006 |
14 | d5b15b0c |
15 | 8420b100 |
hex | 5447d480 |
1413993600 has 288 divisors, whose sum is σ = 5222517300. Its totient is φ = 363847680.
The previous prime is 1413993593. The next prime is 1413993601. The reversal of 1413993600 is 63993141.
1413993600 is a `hidden beast` number, since 1 + 41 + 3 + 9 + 9 + 3 + 600 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 445041216 + 968952384 = 21096^2 + 31128^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1413993601) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 834354 + ... + 836046.
Almost surely, 21413993600 is an apocalyptic number.
1413993600 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 1413993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611258650).
1413993600 is an abundant number, since it is smaller than the sum of its proper divisors (3808523700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1413993600 is a wasteful number, since it uses less digits than its factorization.
1413993600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1752 (or 1732 counting only the distinct ones).
The product of its (nonzero) digits is 17496, while the sum is 36.
The square root of 1413993600 is about 37603.1062546700. The cubic root of 1413993600 is about 1122.4038505416.
The spelling of 1413993600 in words is "one billion, four hundred thirteen million, nine hundred ninety-three thousand, six hundred".
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