Search a number
-
+
19815072 = 253206407
BaseRepresentation
bin100101110010…
…1101010100000
31101021201011120
41023211222200
520033040242
61544412240
7330265614
oct113455240
941251146
1019815072
11102043a2
126777080
13414a1c4
1428bb344
151b161ec
hex12e5aa0

19815072 has 24 divisors (see below), whose sum is σ = 52014816. Its totient is φ = 6604992.

The previous prime is 19815041. The next prime is 19815077. The reversal of 19815072 is 27051891.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (19815077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103108 + ... + 103299.

It is an arithmetic number, because the mean of its divisors is an integer number (2167284).

Almost surely, 219815072 is an apocalyptic number.

19815072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19815072 is an abundant number, since it is smaller than the sum of its proper divisors (32199744).

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

19815072 is a wasteful number, since it uses less digits than its factorization.

19815072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206420 (or 206412 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 19815072 is about 4451.4123601392. The cubic root of 19815072 is about 270.6025500563.

The spelling of 19815072 in words is "nineteen million, eight hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 206407 412814 619221 825628 1238442 1651256 2476884 3302512 4953768 6605024 9907536 19815072