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20092128 = 2537291031
BaseRepresentation
bin100110010100…
…1010011100000
31101210210012220
41030221103200
520120422003
61554351040
7332531430
oct114512340
941723186
1020092128
1110383571
12688b480
134216344
1429502c0
151b6d353
hex13294e0

20092128 has 96 divisors (see below), whose sum is σ = 62415360. Its totient is φ = 5537280.

The previous prime is 20092117. The next prime is 20092183. The reversal of 20092128 is 82129002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×200921283 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20092098 and 20092107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18973 + ... + 20003.

It is an arithmetic number, because the mean of its divisors is an integer number (650160).

Almost surely, 220092128 is an apocalyptic number.

20092128 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 20092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207680).

20092128 is an abundant number, since it is smaller than the sum of its proper divisors (42323232).

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

20092128 is a wasteful number, since it uses less digits than its factorization.

20092128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 20092128 is about 4482.4243440353. The cubic root of 20092128 is about 271.8579131024.

The spelling of 20092128 in words is "twenty million, ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1031 1218 1392 1624 2062 2436 2784 3093 3248 4124 4872 6186 6496 7217 8248 9744 12372 14434 16496 19488 21651 24744 28868 29899 32992 43302 49488 57736 59798 86604 89697 98976 115472 119596 173208 179394 209293 230944 239192 346416 358788 418586 478384 627879 692832 717576 837172 956768 1255758 1435152 1674344 2511516 2870304 3348688 5023032 6697376 10046064 20092128