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19348140 = 2235726581
BaseRepresentation
bin100100111001…
…1101010101100
31100101222122210
41021303222230
514423120030
61530410420
7323312400
oct111635254
940358583
1019348140
11aa155a9
126590a10
134015806
1427d9100
151a72bb0
hex1273aac

19348140 has 72 divisors (see below), whose sum is σ = 63029232. Its totient is φ = 4421760.

The previous prime is 19348117. The next prime is 19348141. The reversal of 19348140 is 4184391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19348098 and 19348107.

It is not an unprimeable number, because it can be changed into a prime (19348141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351 + ... + 6230.

It is an arithmetic number, because the mean of its divisors is an integer number (875406).

Almost surely, 219348140 is an apocalyptic number.

19348140 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 19348140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31514616).

19348140 is an abundant number, since it is smaller than the sum of its proper divisors (43681092).

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

19348140 is a wasteful number, since it uses less digits than its factorization.

19348140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 19348140 is about 4398.6520662585. The cubic root of 19348140 is about 268.4600955369.

The spelling of 19348140 in words is "nineteen million, three hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 6581 13162 19743 26324 32905 39486 46067 65810 78972 92134 98715 131620 138201 184268 197430 230335 276402 322469 394860 460670 552804 644938 691005 921340 967407 1289876 1382010 1612345 1934814 2764020 3224690 3869628 4837035 6449380 9674070 19348140