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23139584 = 281317409
BaseRepresentation
bin101100001000…
…1010100000000
31121112121112122
41120101110000
521410431314
62143543412
7400453226
oct130212400
947477478
1023139584
1112075126
1278bab68
134a42480
143104b16
15207128e
hex1611500

23139584 has 72 divisors (see below), whose sum is σ = 52796520. Its totient is φ = 10027008.

The previous prime is 23139563. The next prime is 23139607. The reversal of 23139584 is 48593132.

It can be written as a sum of positive squares in 4 ways, for example, as 7139584 + 16000000 = 2672^2 + 4000^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56372 + ... + 56780.

It is an arithmetic number, because the mean of its divisors is an integer number (733285).

Almost surely, 223139584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26398260).

23139584 is an abundant number, since it is smaller than the sum of its proper divisors (29656936).

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

23139584 is a wasteful number, since it uses less digits than its factorization.

23139584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 441 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 23139584 is about 4810.3621485289. The cubic root of 23139584 is about 284.9608400079.

The spelling of 23139584 in words is "twenty-three million, one hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 409 416 442 544 818 832 884 1088 1636 1664 1768 2176 3272 3328 3536 4352 5317 6544 6953 7072 10634 13088 13906 14144 21268 26176 27812 28288 42536 52352 55624 56576 85072 90389 104704 111248 170144 180778 222496 340288 361556 444992 680576 723112 889984 1361152 1446224 1779968 2892448 5784896 11569792 23139584