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23129984 = 271371319
BaseRepresentation
bin101100000111…
…0111110000000
31121112010101002
41120032332000
521410124414
62143431132
7400413233
oct130167600
947463332
1023129984
1112068999
1278b54a8
134a3aca7
14310141a
15206d4de
hex160ef80

23129984 has 32 divisors (see below), whose sum is σ = 46450800. Its totient is φ = 11471872.

The previous prime is 23129983. The next prime is 23129993. The reversal of 23129984 is 48992132.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23129983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16877 + ... + 18195.

Almost surely, 223129984 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 23129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23225400).

23129984 is an abundant number, since it is smaller than the sum of its proper divisors (23320816).

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

23129984 is a wasteful number, since it uses less digits than its factorization.

23129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 23129984 is about 4809.3641991432. The cubic root of 23129984 is about 284.9214269907.

The spelling of 23129984 in words is "twenty-three million, one hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 1319 2192 2638 4384 5276 8768 10552 17536 21104 42208 84416 168832 180703 361406 722812 1445624 2891248 5782496 11564992 23129984