Base | Representation |
---|---|
bin | 100111110000… |
… | …110110000000 |
3 | 201121120121020 |
4 | 213300312000 |
5 | 10132024210 |
6 | 1011225440 |
7 | 154412511 |
oct | 47606600 |
9 | 21546536 |
10 | 10423680 |
11 | 597a513 |
12 | 35a8280 |
13 | 220c677 |
14 | 1554a08 |
15 | dad770 |
hex | 9f0d80 |
10423680 has 128 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 2703360.
The previous prime is 10423667. The next prime is 10423697. The reversal of 10423680 is 8632401.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
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 10423680.
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, 117076 + ... + 117164.
Almost surely, 210423680 is an apocalyptic number.
10423680 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 10423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).
10423680 is an abundant number, since it is smaller than the sum of its proper divisors (23725920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10423680 is an equidigital number, since it uses as much as digits as its factorization.
10423680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 172 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 10423680 is about 3228.5724399493. The cubic root of 10423680 is about 218.4441188762. Note that the first 3 decimals are identical.
The spelling of 10423680 in words is "ten million, four hundred twenty-three thousand, six hundred eighty".
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