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19082840 = 23571719211
BaseRepresentation
bin100100011001…
…0111001011000
31022220111201212
41020302321120
514341122330
61521002252
7321126050
oct110627130
938814655
1019082840
11a854247
126483388
133c51b2a
14276a560
151a1e295
hex1232e58

19082840 has 128 divisors (see below), whose sum is σ = 54950400. Its totient is φ = 5806080.

The previous prime is 19082831. The next prime is 19082849. The reversal of 19082840 is 4828091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19082831) and next prime (19082849).

It is a junction number, because it is equal to n+sod(n) for n = 19082797 and 19082806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19082849) 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 31 ways as a sum of consecutive naturals, for example, 90335 + ... + 90545.

It is an arithmetic number, because the mean of its divisors is an integer number (429300).

Almost surely, 219082840 is an apocalyptic number.

19082840 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 19082840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27475200).

19082840 is an abundant number, since it is smaller than the sum of its proper divisors (35867560).

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

19082840 is a wasteful number, since it uses less digits than its factorization.

19082840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 19082840 is about 4368.3910081402. The cubic root of 19082840 is about 267.2274103259.

The spelling of 19082840 in words is "nineteen million, eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 28 34 35 38 40 56 68 70 76 85 95 119 133 136 140 152 170 190 211 238 266 280 323 340 380 422 476 532 595 646 665 680 760 844 952 1055 1064 1190 1292 1330 1477 1615 1688 2110 2261 2380 2584 2660 2954 3230 3587 4009 4220 4522 4760 5320 5908 6460 7174 7385 8018 8440 9044 11305 11816 12920 14348 14770 16036 17935 18088 20045 22610 25109 28063 28696 29540 32072 35870 40090 45220 50218 56126 59080 68153 71740 80180 90440 100436 112252 125545 136306 140315 143480 160360 200872 224504 251090 272612 280630 340765 477071 502180 545224 561260 681530 954142 1004360 1122520 1363060 1908284 2385355 2726120 3816568 4770710 9541420 19082840