Search a number
-
+
19706128 = 2413175573
BaseRepresentation
bin100101100101…
…1000100010000
31101002011201121
41023023010100
520021044003
61542212024
7326333161
oct113130420
941064647
1019706128
111013a562
126724014
13410c740
14288d768
151ae3cbd
hex12cb110

19706128 has 40 divisors (see below), whose sum is σ = 43544088. Its totient is φ = 8558592.

The previous prime is 19706087. The next prime is 19706143. The reversal of 19706128 is 82160791.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 19642624 = 252^2 + 4432^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 19706093 and 19706102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750 + ... + 6322.

Almost surely, 219706128 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 19706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772044).

19706128 is an abundant number, since it is smaller than the sum of its proper divisors (23837960).

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

19706128 is a wasteful number, since it uses less digits than its factorization.

19706128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 19706128 is about 4439.1584788110. The cubic root of 19706128 is about 270.1057107785.

The spelling of 19706128 in words is "nineteen million, seven hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 5573 11146 22292 44584 72449 89168 94741 144898 189482 289796 378964 579592 757928 1159184 1231633 1515856 2463266 4926532 9853064 19706128