| Base | Representation |
|---|---|
| bin | 1100001100111… |
| … | …01100011100000 |
| 3 | 21010121021201000 |
| 4 | 12012131203200 |
| 5 | 202200412331 |
| 6 | 14053512000 |
| 7 | 2352010353 |
| oct | 606354340 |
| 9 | 233537630 |
| 10 | 102357216 |
| 11 | 52861545 |
| 12 | 2a342600 |
| 13 | 1828a700 |
| 14 | d84629a |
| 15 | 8ebd0e6 |
| hex | 619d8e0 |
102357216 has 144 divisors (see below), whose sum is σ = 323734320. Its totient is φ = 31449600.
The previous prime is 102357193. The next prime is 102357239. The reversal of 102357216 is 612753201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (102357193) and next prime (102357239).
It is a tau number, because it is divible by the number of its divisors (144).
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 102357216.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145666 + ... + 146366.
It is an arithmetic number, because the mean of its divisors is an integer number (2248155).
Almost surely, 2102357216 is an apocalyptic number.
102357216 is a gapful number since it is divisible by the number (16) 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 102357216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161867160).
102357216 is an abundant number, since it is smaller than the sum of its proper divisors (221377104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102357216 is a wasteful number, since it uses less digits than its factorization.
102357216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 746 (or 719 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 102357216 is about 10117.1743090648. The cubic root of 102357216 is about 467.7776721756. Note that the first 3 decimals are identical.
The spelling of 102357216 in words is "one hundred two million, three hundred fifty-seven thousand, two hundred sixteen".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.077 sec. • engine limits •