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23830128 = 2432747503
BaseRepresentation
bin101101011100…
…1111001110000
31122211200210100
41122321321300
522100031003
62210432400
7406360410
oct132717160
948750710
1023830128
11124a6a23
127b92700
134c2488a
143244640
15215aba3
hex16b9e70

23830128 has 120 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 6650496.

The previous prime is 23830067. The next prime is 23830151. The reversal of 23830128 is 82103832.

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, 47125 + ... + 47627.

Almost surely, 223830128 is an apocalyptic number.

23830128 is a gapful number since it is divisible by the number (28) 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 23830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

23830128 is an abundant number, since it is smaller than the sum of its proper divisors (54164880).

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

23830128 is a wasteful number, since it uses less digits than its factorization.

23830128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23830128 is about 4881.6112094267. The cubic root of 23830128 is about 287.7677525774.

The spelling of 23830128 in words is "twenty-three million, eight hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 503 504 564 658 752 846 987 1006 1008 1128 1316 1509 1692 1974 2012 2256 2632 2961 3018 3384 3521 3948 4024 4527 5264 5922 6036 6768 7042 7896 8048 9054 10563 11844 12072 14084 15792 18108 21126 23641 23688 24144 28168 31689 36216 42252 47282 47376 56336 63378 70923 72432 84504 94564 126756 141846 165487 169008 189128 212769 253512 283692 330974 378256 425538 496461 507024 567384 661948 851076 992922 1134768 1323896 1489383 1702152 1985844 2647792 2978766 3404304 3971688 5957532 7943376 11915064 23830128