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19311390 = 23257229151
BaseRepresentation
bin100100110101…
…0101100011110
31100100010020200
41021222230132
514420431030
61525524330
7323100300
oct111525436
940303220
1019311390
11a99aa2a
1265736a6
134001b77
1427c9970
151a66d60
hex126ab1e

19311390 has 144 divisors (see below), whose sum is σ = 60821280. Its totient is φ = 4233600.

The previous prime is 19311389. The next prime is 19311403. The reversal of 19311390 is 9311391.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 127815 + ... + 127965.

It is an arithmetic number, because the mean of its divisors is an integer number (422370).

Almost surely, 219311390 is an apocalyptic number.

19311390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19311390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30410640).

19311390 is an abundant number, since it is smaller than the sum of its proper divisors (41509890).

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

19311390 is a wasteful number, since it uses less digits than its factorization.

19311390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 19311390 is about 4394.4726646095. The cubic root of 19311390 is about 268.2900161120.

Subtracting from 19311390 its reverse (9311391), we obtain a palindrome (9999999).

It can be divided in two parts, 19311 and 390, that added together give a triangular number (19701 = T198).

The spelling of 19311390 in words is "nineteen million, three hundred eleven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 49 58 63 70 87 90 98 105 126 145 147 151 174 203 210 245 261 290 294 302 315 406 435 441 453 490 522 609 630 735 755 870 882 906 1015 1057 1218 1305 1359 1421 1470 1510 1827 2030 2114 2205 2265 2610 2718 2842 3045 3171 3654 4263 4379 4410 4530 5285 6090 6342 6795 7105 7399 8526 8758 9135 9513 10570 12789 13137 13590 14210 14798 15855 18270 19026 21315 21895 22197 25578 26274 30653 31710 36995 39411 42630 43790 44394 47565 61306 63945 65685 66591 73990 78822 91959 95130 110985 127890 131370 133182 153265 183918 197055 214571 221970 275877 306530 332955 394110 429142 459795 551754 643713 665910 919590 1072855 1287426 1379385 1931139 2145710 2758770 3218565 3862278 6437130 9655695 19311390