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20183328 = 25321123277
BaseRepresentation
bin100110011111…
…1100100100000
31101222102022200
41030333210200
520131331303
62000333200
7333361344
oct114774440
941872280
1020183328
1110436040
126914200
1342489c9
142975624
151b8a3a3
hex133f920

20183328 has 144 divisors (see below), whose sum is σ = 65572416. Its totient is φ = 5829120.

The previous prime is 20183327. The next prime is 20183329. The reversal of 20183328 is 82338102.

It is an interprime number because it is at equal distance from previous prime (20183327) and next prime (20183329).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (20183321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72726 + ... + 73002.

It is an arithmetic number, because the mean of its divisors is an integer number (455364).

Almost surely, 220183328 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 20183328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32786208).

20183328 is an abundant number, since it is smaller than the sum of its proper divisors (45389088).

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

20183328 is a wasteful number, since it uses less digits than its factorization.

20183328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

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

The square root of 20183328 is about 4492.5858923342. The cubic root of 20183328 is about 272.2686215941.

The spelling of 20183328 in words is "twenty million, one hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 277 288 352 368 396 414 506 528 552 554 736 759 792 828 831 1012 1056 1104 1108 1518 1584 1656 1662 2024 2208 2216 2277 2493 3036 3047 3168 3312 3324 4048 4432 4554 4986 6072 6094 6371 6624 6648 8096 8864 9108 9141 9972 12144 12188 12742 13296 18216 18282 19113 19944 24288 24376 25484 26592 27423 36432 36564 38226 39888 48752 50968 54846 57339 70081 72864 73128 76452 79776 97504 101936 109692 114678 140162 146256 152904 203872 210243 219384 229356 280324 292512 305808 420486 438768 458712 560648 611616 630729 840972 877536 917424 1121296 1261458 1681944 1834848 2242592 2522916 3363888 5045832 6727776 10091664 20183328