| Base | Representation |
|---|---|
| bin | 1100001111010… |
| … | …10011010000000 |
| 3 | 21011012021111200 |
| 4 | 12013222122000 |
| 5 | 202241001000 |
| 6 | 14104341200 |
| 7 | 2354461164 |
| oct | 607523200 |
| 9 | 234167450 |
| 10 | 102672000 |
| 11 | 52a56aa2 |
| 12 | 2a474800 |
| 13 | 1836aa82 |
| 14 | d8c8ca4 |
| 15 | 9031500 |
| hex | 61ea680 |
102672000 has 384 divisors, whose sum is σ = 397163520. Its totient is φ = 25344000.
The previous prime is 102671999. The next prime is 102672001. The reversal of 102672000 is 276201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (102671999) and next prime (102672001).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-4 number, since 4×1026720004 (a number of 33 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (102672001) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 3311985 + ... + 3312015.
It is an arithmetic number, because the mean of its divisors is an integer number (1034280).
Almost surely, 2102672000 is an apocalyptic number.
102672000 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 102672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198581760).
102672000 is an abundant number, since it is smaller than the sum of its proper divisors (294491520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102672000 is a wasteful number, since it uses less digits than its factorization.
102672000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 89 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 102672000 is about 10132.7192796406. The cubic root of 102672000 is about 468.2567077293.
The spelling of 102672000 in words is "one hundred two million, six hundred seventy-two thousand".
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