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23000460 = 22357232381
BaseRepresentation
bin101011110111…
…1010110001100
31121021112200220
41113233112030
521342003320
62140551340
7366333510
oct127572614
947245626
1023000460
1111a8a64a
127852550
1349c4052
1430aa140
152044e40
hex15ef58c

23000460 has 96 divisors (see below), whose sum is σ = 76833792. Its totient is φ = 5026560.

The previous prime is 23000459. The next prime is 23000479. The reversal of 23000460 is 6400032.

23000460 = T57 + T58 + ... + T516.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8470 + ... + 10850.

It is an arithmetic number, because the mean of its divisors is an integer number (800352).

Almost surely, 223000460 is an apocalyptic number.

23000460 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 23000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38416896).

23000460 is an abundant number, since it is smaller than the sum of its proper divisors (53833332).

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

23000460 is a wasteful number, since it uses less digits than its factorization.

23000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23000460 is about 4795.8794813882. The cubic root of 23000460 is about 284.3885938838.

Adding to 23000460 its reverse (6400032), we get a palindrome (29400492).

The spelling of 23000460 in words is "twenty-three million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2381 2415 3220 4762 4830 7143 9524 9660 11905 14286 16667 23810 28572 33334 35715 47620 50001 54763 66668 71430 83335 100002 109526 142860 164289 166670 200004 219052 250005 273815 328578 333340 383341 500010 547630 657156 766682 821445 1000020 1095260 1150023 1533364 1642890 1916705 2300046 3285780 3833410 4600092 5750115 7666820 11500230 23000460