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23824128 = 28367463
BaseRepresentation
bin101101011100…
…0011100000000
31122211101120010
41122320130000
522044333003
62210344520
7406334046
oct132703400
948741503
1023824128
11124a2469
127b8b140
134c21c23
143242396
152159003
hex16b8700

23824128 has 72 divisors (see below), whose sum is σ = 64492288. Its totient is φ = 7805952.

The previous prime is 23824117. The next prime is 23824133. The reversal of 23824128 is 82142832.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23824095 and 23824104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51225 + ... + 51687.

Almost surely, 223824128 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 23824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32246144).

23824128 is an abundant number, since it is smaller than the sum of its proper divisors (40668160).

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

23824128 is an equidigital number, since it uses as much as digits as its factorization.

23824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 23824128 is about 4880.9966195440. The cubic root of 23824128 is about 287.7435989592.

The spelling of 23824128 in words is "twenty-three million, eight hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 463 536 768 804 926 1072 1389 1608 1852 2144 2778 3216 3704 4288 5556 6432 7408 8576 11112 12864 14816 17152 22224 25728 29632 31021 44448 51456 59264 62042 88896 93063 118528 124084 177792 186126 248168 355584 372252 496336 744504 992672 1489008 1985344 2978016 3970688 5956032 7941376 11912064 23824128