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20933928 = 23323183113
BaseRepresentation
bin100111111011…
…0110100101000
31110101112221200
41033312310220
520324341203
62024404200
7342635601
oct117666450
943345850
1020933928
11108a8a74
127016660
13444c552
142accda8
151c879a3
hex13f6d28

20933928 has 96 divisors (see below), whose sum is σ = 59754240. Its totient is φ = 6612480.

The previous prime is 20933923. The next prime is 20933929. The reversal of 20933928 is 82933902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20933892 and 20933901.

It is not an unprimeable number, because it can be changed into a prime (20933921) 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, 185200 + ... + 185312.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 220933928 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 20933928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29877120).

20933928 is an abundant number, since it is smaller than the sum of its proper divisors (38820312).

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

20933928 is a wasteful number, since it uses less digits than its factorization.

20933928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20933928 is about 4575.3609693662. The cubic root of 20933928 is about 275.6027681947.

The spelling of 20933928 in words is "twenty million, nine hundred thirty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 83 93 113 124 166 186 226 248 249 279 332 339 372 452 498 558 664 678 744 747 904 996 1017 1116 1356 1494 1992 2034 2232 2573 2712 2988 3503 4068 5146 5976 7006 7719 8136 9379 10292 10509 14012 15438 18758 20584 21018 23157 28024 28137 30876 31527 37516 42036 46314 56274 61752 63054 75032 84072 84411 92628 112548 126108 168822 185256 225096 252216 290749 337644 581498 675288 872247 1162996 1744494 2325992 2616741 3488988 5233482 6977976 10466964 20933928