| Base | Representation |
|---|---|
| bin | 1100010011111… |
| … | …01000101000000 |
| 3 | 21012022210121100 |
| 4 | 12021331011000 |
| 5 | 202414212033 |
| 6 | 14125254400 |
| 7 | 2362542534 |
| oct | 611750500 |
| 9 | 235283540 |
| 10 | 103272768 |
| 11 | 533273a5 |
| 12 | 2a704400 |
| 13 | 1851b361 |
| 14 | da03bc4 |
| 15 | 90ee513 |
| hex | 627d140 |
103272768 has 84 divisors (see below), whose sum is σ = 303301908. Its totient is φ = 33576960.
The previous prime is 103272761. The next prime is 103272791. The reversal of 103272768 is 867272301.
It can be written as a sum of positive squares in 2 ways, for example, as 27373824 + 75898944 = 5232^2 + 8712^2 .
It is a super-2 number, since 2×1032727682 = 21330529220763648, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103272761) 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 11 ways as a sum of consecutive naturals, for example, 21430 + ... + 25802.
It is an arithmetic number, because the mean of its divisors is an integer number (3610737).
Almost surely, 2103272768 is an apocalyptic number.
103272768 is a gapful number since it is divisible by the number (18) 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 103272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151650954).
103272768 is an abundant number, since it is smaller than the sum of its proper divisors (200029140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103272768 is a wasteful number, since it uses less digits than its factorization.
103272768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4432 (or 4419 counting only the distinct ones).
The product of its (nonzero) digits is 28224, while the sum is 36.
The square root of 103272768 is about 10162.3209947334. The cubic root of 103272768 is about 469.1682406884.
The spelling of 103272768 in words is "one hundred three million, two hundred seventy-two thousand, seven hundred sixty-eight".
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