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19304190 = 2335195371
BaseRepresentation
bin100100110100…
…0111011111110
31100022202101000
41021220323332
514420213230
61525431130
7323040303
oct111507376
940282330
1019304190
11a995584
12656b4a6
133ccb7c9
1427c70aa
151a64b60
hex1268efe

19304190 has 128 divisors (see below), whose sum is σ = 55987200. Its totient is φ = 4717440.

The previous prime is 19304167. The next prime is 19304267. The reversal of 19304190 is 9140391.

It is a super-2 number, since 2×193041902 = 745303503112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271855 + ... + 271925.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 219304190 is an apocalyptic number.

19304190 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 19304190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993600).

19304190 is an abundant number, since it is smaller than the sum of its proper divisors (36683010).

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

19304190 is a wasteful number, since it uses less digits than its factorization.

19304190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19304190 is about 4393.6533773160. The cubic root of 19304190 is about 268.2566691558.

It can be divided in two parts, 193041 and 90, that added together give a triangular number (193131 = T621).

The spelling of 19304190 in words is "nineteen million, three hundred four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 53 54 57 71 90 95 106 114 135 142 159 171 190 213 265 270 285 318 342 355 426 477 513 530 570 639 710 795 855 954 1007 1026 1065 1278 1349 1431 1590 1710 1917 2014 2130 2385 2565 2698 2862 3021 3195 3763 3834 4047 4770 5035 5130 6042 6390 6745 7155 7526 8094 9063 9585 10070 11289 12141 13490 14310 15105 18126 18815 19170 20235 22578 24282 27189 30210 33867 36423 37630 40470 45315 54378 56445 60705 67734 71497 72846 90630 101601 112890 121410 135945 142994 169335 182115 203202 214491 271890 338670 357485 364230 428982 508005 643473 714970 1016010 1072455 1286946 1930419 2144910 3217365 3860838 6434730 9652095 19304190