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19168992 = 2532101659
BaseRepresentation
bin100100100011…
…1111011100000
31100001212220200
41021013323200
514401401432
61522505200
7321635163
oct111077340
940055820
1019168992
11a902a47
126505200
133c820cb
14278dada
151a39a7c
hex1247ee0

19168992 has 72 divisors (see below), whose sum is σ = 55135080. Its totient is φ = 6316800.

The previous prime is 19168991. The next prime is 19168993. The reversal of 19168992 is 29986191.

It is an interprime number because it is at equal distance from previous prime (19168991) and next prime (19168993).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19168991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28759 + ... + 29417.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 219168992 is an apocalyptic number.

19168992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19168992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27567540).

19168992 is an abundant number, since it is smaller than the sum of its proper divisors (35966088).

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

19168992 is a wasteful number, since it uses less digits than its factorization.

19168992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 19168992 is about 4378.2407425814. The cubic root of 19168992 is about 267.6289511332.

The spelling of 19168992 in words is "nineteen million, one hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 659 808 909 1212 1318 1616 1818 1977 2424 2636 3232 3636 3954 4848 5272 5931 7272 7908 9696 10544 11862 14544 15816 21088 23724 29088 31632 47448 63264 66559 94896 133118 189792 199677 266236 399354 532472 599031 798708 1064944 1198062 1597416 2129888 2396124 3194832 4792248 6389664 9584496 19168992