Base | Representation |
---|---|
bin | 100111110010… |
… | …110101100000 |
3 | 201121222210110 |
4 | 213302311200 |
5 | 10132304330 |
6 | 1011331320 |
7 | 154445346 |
oct | 47626540 |
9 | 21558713 |
10 | 10431840 |
11 | 5985661 |
12 | 35b0b40 |
13 | 22132b3 |
14 | 1557996 |
15 | db0db0 |
hex | 9f2d60 |
10431840 has 96 divisors (see below), whose sum is σ = 33336576. Its totient is φ = 2741760.
The previous prime is 10431823. The next prime is 10431859. The reversal of 10431840 is 4813401.
10431840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49335 + ... + 49545.
It is an arithmetic number, because the mean of its divisors is an integer number (347256).
Almost surely, 210431840 is an apocalyptic number.
10431840 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 10431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668288).
10431840 is an abundant number, since it is smaller than the sum of its proper divisors (22904736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10431840 is a wasteful number, since it uses less digits than its factorization.
10431840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 332 (or 324 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 10431840 is about 3229.8359091446. The cubic root of 10431840 is about 218.5011057585.
The spelling of 10431840 in words is "ten million, four hundred thirty-one thousand, eight hundred forty".
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