Base | Representation |
---|---|
bin | 101101000011… |
… | …0011101011100 |
3 | 1122102222202100 |
4 | 1122012131130 |
5 | 22021310140 |
6 | 2202125100 |
7 | 404522166 |
oct | 132063534 |
9 | 48388670 |
10 | 23619420 |
11 | 12372690 |
12 | 7ab0790 |
13 | 4b7c9b6 |
14 | 31cb936 |
15 | 2118530 |
hex | 168675c |
23619420 has 144 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 5616000.
The previous prime is 23619389. The next prime is 23619433. The reversal of 23619420 is 2491632.
23619420 is a `hidden beast` number, since 2 + 3 + 619 + 42 + 0 = 666.
It is a super-2 number, since 2×236194202 = 1115754002272800, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156345 + ... + 156495.
It is an arithmetic number, because the mean of its divisors is an integer number (553280).
Almost surely, 223619420 is an apocalyptic number.
23619420 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 23619420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).
23619420 is an abundant number, since it is smaller than the sum of its proper divisors (56052900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23619420 is a wasteful number, since it uses less digits than its factorization.
23619420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256 (or 251 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 23619420 is about 4859.9814814462. The cubic root of 23619420 is about 286.9170848307.
It can be divided in two parts, 2361 and 9420, that added together give a triangular number (11781 = T153).
The spelling of 23619420 in words is "twenty-three million, six hundred nineteen thousand, four hundred twenty".
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