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23813064 = 233211107281
BaseRepresentation
bin101101011010…
…1101111001000
31122210211101100
41122311233020
522044004224
62210221400
7406256562
oct132655710
948724340
1023813064
1112495120
127b84860
134c19b92
14323c332
152155ac9
hex16b5bc8

23813064 has 96 divisors (see below), whose sum is σ = 71267040. Its totient is φ = 7123200.

The previous prime is 23813051. The next prime is 23813071. The reversal of 23813064 is 46031832.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84604 + ... + 84884.

It is an arithmetic number, because the mean of its divisors is an integer number (742365).

Almost surely, 223813064 is an apocalyptic number.

23813064 is a gapful number since it is divisible by the number (24) 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 23813064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35633520).

23813064 is an abundant number, since it is smaller than the sum of its proper divisors (47453976).

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

23813064 is a wasteful number, since it uses less digits than its factorization.

23813064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23813064 is about 4879.8631128342. The cubic root of 23813064 is about 287.6990490512.

Adding to 23813064 its reverse (46031832), we get a palindrome (69844896).

It can be divided in two parts, 2381 and 3064, that added together give a palindrome (5445).

The spelling of 23813064 in words is "twenty-three million, eight hundred thirteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 198 214 264 281 321 396 428 562 642 792 843 856 963 1124 1177 1284 1686 1926 2248 2354 2529 2568 3091 3372 3531 3852 4708 5058 6182 6744 7062 7704 9273 9416 10116 10593 12364 14124 18546 20232 21186 24728 27819 28248 30067 37092 42372 55638 60134 74184 84744 90201 111276 120268 180402 222552 240536 270603 330737 360804 541206 661474 721608 992211 1082412 1322948 1984422 2164824 2645896 2976633 3968844 5953266 7937688 11906532 23813064