| Base | Representation |
|---|---|
| bin | 1100001111010… |
| … | …10010110000000 |
| 3 | 21011012021011012 |
| 4 | 12013222112000 |
| 5 | 202240443434 |
| 6 | 14104340052 |
| 7 | 2354460350 |
| oct | 607522600 |
| 9 | 234167135 |
| 10 | 102671744 |
| 11 | 52a5688a |
| 12 | 2a474628 |
| 13 | 1836a916 |
| 14 | d8c8b60 |
| 15 | 90313ce |
| hex | 61ea580 |
102671744 has 128 divisors (see below), whose sum is σ = 254265600. Its totient is φ = 40310784.
The previous prime is 102671731. The next prime is 102671791. The reversal of 102671744 is 447176201.
102671744 is nontrivially palindromic in base 3.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-4 number, since 4×1026717444 (a number of 33 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 102671744.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629807 + ... + 629969.
It is an arithmetic number, because the mean of its divisors is an integer number (1986450).
Almost surely, 2102671744 is an apocalyptic number.
102671744 is a gapful number since it is divisible by the number (14) 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 102671744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127132800).
102671744 is an abundant number, since it is smaller than the sum of its proper divisors (151593856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102671744 is a wasteful number, since it uses less digits than its factorization.
102671744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 9408, while the sum is 32.
The square root of 102671744 is about 10132.7066472883. The cubic root of 102671744 is about 468.2563185488.
The spelling of 102671744 in words is "one hundred two million, six hundred seventy-one thousand, seven hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.065 sec. • engine limits •