Search a number
-
+
20449728 = 2632132731
BaseRepresentation
bin100111000000…
…0100111000000
31102110221202100
41032000213000
520213342403
62010150400
7335551125
oct116004700
942427670
1020449728
11105a8202
126a22400
134310040
142a0474c
151bde2a3
hex13809c0

20449728 has 84 divisors (see below), whose sum is σ = 63147448. Its totient is φ = 6289920.

The previous prime is 20449697. The next prime is 20449753. The reversal of 20449728 is 82794402.

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 = 20449692 and 20449701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6123 + ... + 8853.

Almost surely, 220449728 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 20449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31573724).

20449728 is an abundant number, since it is smaller than the sum of its proper divisors (42697720).

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

20449728 is a wasteful number, since it uses less digits than its factorization.

20449728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20449728 is about 4522.1375476648. The cubic root of 20449728 is about 273.4612818913.

The spelling of 20449728 in words is "twenty million, four hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 2731 3744 5462 7488 8193 10924 16386 21848 24579 32772 35503 43696 49158 65544 71006 87392 98316 106509 131088 142012 174784 196632 213018 262176 284024 319527 393264 426036 524352 568048 639054 786528 852072 1136096 1278108 1573056 1704144 2272192 2556216 3408288 5112432 6816576 10224864 20449728