Search a number
-
+
19803312 = 243345841
BaseRepresentation
bin100101110001…
…0110010110000
31101021010001000
41023202302300
520032201222
61544242000
7330216414
oct113426260
941233030
1019803312
11101a6581
126770300
134144a49
1428b6d44
151b129ac
hex12e2cb0

19803312 has 40 divisors (see below), whose sum is σ = 56844080. Its totient is φ = 6600960.

The previous prime is 19803271. The next prime is 19803313. The reversal of 19803312 is 21330891.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (19803313) 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 7 ways as a sum of consecutive naturals, for example, 22489 + ... + 23352.

It is an arithmetic number, because the mean of its divisors is an integer number (1421102).

Almost surely, 219803312 is an apocalyptic number.

19803312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19803312 is an abundant number, since it is smaller than the sum of its proper divisors (37040768).

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

19803312 is a wasteful number, since it uses less digits than its factorization.

19803312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45858 (or 45846 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 19803312 is about 4450.0912350198. The cubic root of 19803312 is about 270.5490063742.

The spelling of 19803312 in words is "nineteen million, eight hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 45841 91682 137523 183364 275046 366728 412569 550092 733456 825138 1100184 1237707 1650276 2200368 2475414 3300552 4950828 6601104 9901656 19803312