Base | Representation |
---|---|
bin | 1100010010000… |
… | …00110001100000 |
3 | 21011212020202220 |
4 | 12021000301200 |
5 | 202333311020 |
6 | 14120111040 |
7 | 2360463435 |
oct | 611006140 |
9 | 234766686 |
10 | 103025760 |
11 | 53178862 |
12 | 2a605480 |
13 | 18462ab6 |
14 | d97bb8c |
15 | 90a1240 |
hex | 6240c60 |
103025760 has 96 divisors (see below), whose sum is σ = 333359712. Its totient is φ = 26726400.
The previous prime is 103025759. The next prime is 103025761. The reversal of 103025760 is 67520301.
It is an interprime number because it is at equal distance from previous prime (103025759) and next prime (103025761).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1030257602 = 21228614447155200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 103025760.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103025761) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14860 + ... + 20660.
It is an arithmetic number, because the mean of its divisors is an integer number (3472497).
Almost surely, 2103025760 is an apocalyptic number.
103025760 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 103025760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166679856).
103025760 is an abundant number, since it is smaller than the sum of its proper divisors (230333952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103025760 is a wasteful number, since it uses less digits than its factorization.
103025760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5856 (or 5848 counting only the distinct ones).
The product of its (nonzero) digits is 1260, while the sum is 24.
The square root of 103025760 is about 10150.1605898626. The cubic root of 103025760 is about 468.7938895793.
The spelling of 103025760 in words is "one hundred three million, twenty-five thousand, seven hundred sixty".
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