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19147840 = 265531129
BaseRepresentation
bin100100100001…
…0110001000000
31100000210220021
41021002301000
514400212330
61522223224
7321516415
oct111026100
940023807
1019147840
11a899068
1264b4b14
133c755aa
14278610c
151a3367a
hex1242c40

19147840 has 56 divisors (see below), whose sum is σ = 46497240. Its totient is φ = 7507968.

The previous prime is 19147837. The next prime is 19147873. The reversal of 19147840 is 4874191.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 18455616 = 832^2 + 4296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19147796 and 19147805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16396 + ... + 17524.

Almost surely, 219147840 is an apocalyptic number.

19147840 is a gapful number since it is divisible by the number (10) 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 19147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248620).

19147840 is an abundant number, since it is smaller than the sum of its proper divisors (27349400).

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

19147840 is a wasteful number, since it uses less digits than its factorization.

19147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 19147840 is about 4375.8244937383. The cubic root of 19147840 is about 267.5304766278.

The spelling of 19147840 in words is "nineteen million, one hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1129 1696 2120 2258 3392 4240 4516 5645 8480 9032 11290 16960 18064 22580 36128 45160 59837 72256 90320 119674 180640 239348 299185 361280 478696 598370 957392 1196740 1914784 2393480 3829568 4786960 9573920 19147840