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20493828 = 22322353467
BaseRepresentation
bin100111000101…
…1011000000100
31102120012020200
41032023120010
520221300303
62011130500
7336123525
oct116133004
942505220
1020493828
1110628353
126a43a30
134327134
142a1684c
151bec3a3
hex138b604

20493828 has 72 divisors (see below), whose sum is σ = 55194048. Its totient is φ = 6397248.

The previous prime is 20493791. The next prime is 20493839. The reversal of 20493828 is 82839402.

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 = 20493792 and 20493801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43651 + ... + 44117.

It is an arithmetic number, because the mean of its divisors is an integer number (766584).

Almost surely, 220493828 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 20493828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024).

20493828 is an abundant number, since it is smaller than the sum of its proper divisors (34700220).

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

20493828 is a wasteful number, since it uses less digits than its factorization.

20493828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20493828 is about 4527.0109343804. The cubic root of 20493828 is about 273.6577145610.

It can be divided in two parts, 20493 and 828, that added together give a triangular number (21321 = T206).

The spelling of 20493828 in words is "twenty million, four hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 318 414 467 477 636 828 934 954 1219 1401 1868 1908 2438 2802 3657 4203 4876 5604 7314 8406 10741 10971 14628 16812 21482 21942 24751 32223 42964 43884 49502 64446 74253 96669 99004 128892 148506 193338 222759 297012 386676 445518 569273 891036 1138546 1707819 2277092 3415638 5123457 6831276 10246914 20493828