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23013340 = 22572231021
BaseRepresentation
bin101011111001…
…0011111011100
31121022012100221
41113302133130
521342411330
62141131124
7366416200
oct127623734
947265327
1023013340
1111a99299
127859aa4
1349c9b7c
1430b0b00
152048b7a
hex15f27dc

23013340 has 72 divisors (see below), whose sum is σ = 58720032. Its totient is φ = 7539840.

The previous prime is 23013329. The next prime is 23013373. The reversal of 23013340 is 4331032.

It is a super-2 number, since 2×230133402 = 1059227635911200, which contains 22 as substring.

It is a congruent 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, 22030 + ... + 23050.

It is an arithmetic number, because the mean of its divisors is an integer number (815556).

Almost surely, 223013340 is an apocalyptic number.

23013340 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 23013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29360016).

23013340 is an abundant number, since it is smaller than the sum of its proper divisors (35706692).

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

23013340 is a wasteful number, since it uses less digits than its factorization.

23013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23013340 is about 4797.2221128482. Note that the first 3 decimals coincide. The cubic root of 23013340 is about 284.4416687871.

Adding to 23013340 its reverse (4331032), we get a palindrome (27344372).

The spelling of 23013340 in words is "twenty-three million, thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1021 1127 1610 2042 2254 3220 4084 4508 5105 5635 7147 10210 11270 14294 20420 22540 23483 28588 35735 46966 50029 71470 93932 100058 117415 142940 164381 200116 234830 250145 328762 469660 500290 657524 821905 1000580 1150667 1643810 2301334 3287620 4602668 5753335 11506670 23013340