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23313420 = 223751341
BaseRepresentation
bin101100011101…
…1110000001100
31121212110000000
41120323300030
521432012140
62151404300
7402106104
oct130736014
947773000
1023313420
1112183799
127983690
134aa3630
14314c204
1520a7a30
hex163bc0c

23313420 has 192 divisors, whose sum is σ = 81002880. Its totient is φ = 5598720.

The previous prime is 23313413. The next prime is 23313431. The reversal of 23313420 is 2431332.

23313420 is a `hidden beast` number, since 233 + 13 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23313393 and 23313402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568600 + ... + 568640.

It is an arithmetic number, because the mean of its divisors is an integer number (421890).

Almost surely, 223313420 is an apocalyptic number.

23313420 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 23313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40501440).

23313420 is an abundant number, since it is smaller than the sum of its proper divisors (57689460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23313420 is a wasteful number, since it uses less digits than its factorization.

23313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23313420 is about 4828.3972496057. The cubic root of 23313420 is about 285.6726494089.

Adding to 23313420 its reverse (2431332), we get a palindrome (25744752).

The spelling of 23313420 in words is "twenty-three million, three hundred thirteen thousand, four hundred twenty".