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19444680 = 2332554013
BaseRepresentation
bin100101000101…
…1001111001000
31100120220002100
41022023033020
514434212210
61532433400
7324164013
oct112131710
940526070
1019444680
11aa81092
126618860
13404a738
14282237a
151a915c0
hex128b3c8

19444680 has 48 divisors (see below), whose sum is σ = 63196380. Its totient is φ = 5185152.

The previous prime is 19444679. The next prime is 19444687. The reversal of 19444680 is 8644491.

It is a happy number.

19444680 is a `hidden beast` number, since 194 + 4 + 468 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17589636 + 1855044 = 4194^2 + 1362^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19444687) 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 11 ways as a sum of consecutive naturals, for example, 26647 + ... + 27366.

Almost surely, 219444680 is an apocalyptic number.

19444680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19444680 is an abundant number, since it is smaller than the sum of its proper divisors (43751700).

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

19444680 is a wasteful number, since it uses less digits than its factorization.

19444680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54030 (or 54023 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 19444680 is about 4409.6122278495. The cubic root of 19444680 is about 268.9058601961.

The spelling of 19444680 in words is "nineteen million, four hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 54013 108026 162039 216052 270065 324078 432104 486117 540130 648156 810195 972234 1080260 1296312 1620390 1944468 2160520 2430585 3240780 3888936 4861170 6481560 9722340 19444680