Search a number
-
+
19369896 = 2337313181
BaseRepresentation
bin100100111100…
…0111110101000
31100110002111120
41021320332220
514424314041
61531055240
7323433000
oct111707650
940402446
1019369896
11aa2a987
1265a1520
1340226a0
142803000
151a79366
hex1278fa8

19369896 has 128 divisors (see below), whose sum is σ = 61152000. Its totient is φ = 5080320.

The previous prime is 19369891. The next prime is 19369927. The reversal of 19369896 is 69896391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19369891) 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 31 ways as a sum of consecutive naturals, for example, 106926 + ... + 107106.

It is an arithmetic number, because the mean of its divisors is an integer number (477750).

Almost surely, 219369896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19369896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576000).

19369896 is an abundant number, since it is smaller than the sum of its proper divisors (41782104).

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

19369896 is a wasteful number, since it uses less digits than its factorization.

19369896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its digits is 629856, while the sum is 51.

The square root of 19369896 is about 4401.1244017864. The cubic root of 19369896 is about 268.5606810892.

The spelling of 19369896 in words is "nineteen million, three hundred sixty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 181 182 196 273 294 312 343 362 364 392 543 546 588 637 686 724 728 1029 1086 1092 1176 1267 1274 1372 1448 1911 2058 2172 2184 2353 2534 2548 2744 3801 3822 4116 4344 4459 4706 5068 5096 7059 7602 7644 8232 8869 8918 9412 10136 13377 14118 15204 15288 16471 17738 17836 18824 26607 26754 28236 30408 32942 35476 35672 49413 53214 53508 56472 62083 65884 70952 98826 106428 107016 115297 124166 131768 186249 197652 212856 230594 248332 345891 372498 395304 461188 496664 691782 744996 807079 922376 1383564 1489992 1614158 2421237 2767128 3228316 4842474 6456632 9684948 19369896