Search a number
-
+
20496828 = 22311315009
BaseRepresentation
bin100111000110…
…0000110111100
31102120100100210
41032030012330
520221344303
62011152420
7336135342
oct116140674
942510323
1020496828
111062a630
126a45710
134328601
142a17992
151bed203
hex138c1bc

20496828 has 48 divisors (see below), whose sum is σ = 53867520. Its totient is φ = 6009600.

The previous prime is 20496811. The next prime is 20496829. The reversal of 20496828 is 82869402.

It is a super-3 number, since 3×204968283 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20496829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588 + ... + 6596.

It is an arithmetic number, because the mean of its divisors is an integer number (1122240).

Almost surely, 220496828 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 20496828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26933760).

20496828 is an abundant number, since it is smaller than the sum of its proper divisors (33370692).

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

20496828 is a wasteful number, since it uses less digits than its factorization.

20496828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 20496828 is about 4527.3422667168. The cubic root of 20496828 is about 273.6710670865.

The spelling of 20496828 in words is "twenty million, four hundred ninety-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 5009 10018 15027 20036 30054 55099 60108 110198 155279 165297 220396 310558 330594 465837 621116 661188 931674 1708069 1863348 3416138 5124207 6832276 10248414 20496828