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19475040 = 2535133121
BaseRepresentation
bin100101001001…
…0101001100000
31100122102201210
41022102221200
514441200130
61533230120
7324351354
oct112225140
940572653
1019475040
11aaa1982
126632340
13405b4c0
14282d464
151a9a5b0
hex1292a60

19475040 has 96 divisors (see below), whose sum is σ = 66086496. Its totient is φ = 4792320.

The previous prime is 19475033. The next prime is 19475059. The reversal of 19475040 is 4057491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 19474989 and 19475007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4680 + ... + 7800.

It is an arithmetic number, because the mean of its divisors is an integer number (688401).

Almost surely, 219475040 is an apocalyptic number.

19475040 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 19475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33043248).

19475040 is an abundant number, since it is smaller than the sum of its proper divisors (46611456).

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

19475040 is a wasteful number, since it uses less digits than its factorization.

19475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 19475040 is about 4413.0533647351. The cubic root of 19475040 is about 269.0457397012.

The spelling of 19475040 in words is "nineteen million, four hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 3121 6240 6242 9363 12484 15605 18726 24968 31210 37452 40573 46815 49936 62420 74904 81146 93630 99872 121719 124840 149808 162292 187260 202865 243438 249680 299616 324584 374520 405730 486876 499360 608595 649168 749040 811460 973752 1217190 1298336 1498080 1622920 1947504 2434380 3245840 3895008 4868760 6491680 9737520 19475040