Base | Representation |
---|---|
bin | 101100110010… |
… | …0011000001100 |
3 | 1122011220020222 |
4 | 1121210120030 |
5 | 22002323240 |
6 | 2155130512 |
7 | 403401200 |
oct | 131443014 |
9 | 48156228 |
10 | 23479820 |
11 | 12287811 |
12 | 7a43a38 |
13 | 4b312b0 |
14 | 3192b00 |
15 | 20dbeb5 |
hex | 166460c |
23479820 has 144 divisors (see below), whose sum is σ = 65691360. Its totient is φ = 6967296.
The previous prime is 23479789. The next prime is 23479823. The reversal of 23479820 is 2897432.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23479823) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242012 + ... + 242108.
It is an arithmetic number, because the mean of its divisors is an integer number (456190).
Almost surely, 223479820 is an apocalyptic number.
23479820 is a gapful number since it is divisible by the number (20) 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 23479820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32845680).
23479820 is an abundant number, since it is smaller than the sum of its proper divisors (42211540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23479820 is a wasteful number, since it uses less digits than its factorization.
23479820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 152 (or 143 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 35.
The square root of 23479820 is about 4845.5980023110. The cubic root of 23479820 is about 286.3507034937.
It can be divided in two parts, 2347 and 9820, that added together give a cube (12167 = 233).
The spelling of 23479820 in words is "twenty-three million, four hundred seventy-nine thousand, eight hundred twenty".
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