Search a number
-
+
20233728 = 29324391
BaseRepresentation
bin100110100101…
…1111000000000
31102001222110100
41031023320000
520134434403
62001402400
7333661314
oct115137000
942058410
1020233728
111046a999
126939400
134265928
142989b44
151b9a2a3
hex134be00

20233728 has 60 divisors (see below), whose sum is σ = 58409208. Its totient is φ = 6743040.

The previous prime is 20233691. The next prime is 20233739. The reversal of 20233728 is 82733202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2413 + ... + 6803.

Almost surely, 220233728 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 20233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29204604).

20233728 is an abundant number, since it is smaller than the sum of its proper divisors (38175480).

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

20233728 is an equidigital number, since it uses as much as digits as its factorization.

20233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20233728 is about 4498.1916366469. The cubic root of 20233728 is about 272.4950614934.

It can be divided in two parts, 202 and 33728, that added together give a triangular number (33930 = T260).

The spelling of 20233728 in words is "twenty million, two hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4391 4608 8782 13173 17564 26346 35128 39519 52692 70256 79038 105384 140512 158076 210768 281024 316152 421536 562048 632304 843072 1124096 1264608 1686144 2248192 2529216 3372288 5058432 6744576 10116864 20233728