Base | Representation |
---|---|
bin | 1000000110110… |
… | …10001001110000 |
3 | 11201221212210000 |
4 | 10003122021300 |
5 | 114402034131 |
6 | 10425310000 |
7 | 1454003526 |
oct | 403321160 |
9 | 151855700 |
10 | 68002416 |
11 | 35427249 |
12 | 1a935300 |
13 | 1111c521 |
14 | 9062316 |
15 | 5e83ce6 |
hex | 40da270 |
68002416 has 100 divisors (see below), whose sum is σ = 198772992. Its totient is φ = 22443264.
The previous prime is 68002409. The next prime is 68002423. The reversal of 68002416 is 61420086.
It is an interprime number because it is at equal distance from previous prime (68002409) and next prime (68002423).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 68002416.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 177361 + ... + 177743.
Almost surely, 268002416 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 68002416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99386496).
68002416 is an abundant number, since it is smaller than the sum of its proper divisors (130770576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68002416 is a wasteful number, since it uses less digits than its factorization.
68002416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 540 (or 525 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 68002416 is about 8246.3577414517. The cubic root of 68002416 is about 408.1703440946.
It can be divided in two parts, 6800 and 2416, that added together give a square (9216 = 962).
The spelling of 68002416 in words is "sixty-eight million, two thousand, four hundred sixteen".
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