Search a number
-
+
19811232 = 2532731317
BaseRepresentation
bin100101110010…
…0101110100000
31101021111220100
41023210232200
520032424412
61544342400
7330251460
oct113445640
941244810
1019811232
1110201521
126774a00
13414852c
1428b9ba0
151b14edc
hex12e4ba0

19811232 has 144 divisors (see below), whose sum is σ = 66673152. Its totient is φ = 5460480.

The previous prime is 19811221. The next prime is 19811237. The reversal of 19811232 is 23211891.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19811196 and 19811205.

It is not an unprimeable number, because it can be changed into a prime (19811237) 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 23 ways as a sum of consecutive naturals, for example, 62338 + ... + 62654.

It is an arithmetic number, because the mean of its divisors is an integer number (463008).

Almost surely, 219811232 is an apocalyptic number.

19811232 is a gapful number since it is divisible by the number (12) 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 19811232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33336576).

19811232 is an abundant number, since it is smaller than the sum of its proper divisors (46861920).

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

19811232 is a wasteful number, since it uses less digits than its factorization.

19811232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 19811232 is about 4450.9810154616. The cubic root of 19811232 is about 270.5850687350.

The spelling of 19811232 in words is "nineteen million, eight hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 317 336 372 434 496 504 558 634 651 672 744 868 951 992 1008 1116 1268 1302 1488 1736 1902 1953 2016 2219 2232 2536 2604 2853 2976 3472 3804 3906 4438 4464 5072 5208 5706 6657 6944 7608 7812 8876 8928 9827 10144 10416 11412 13314 15216 15624 17752 19654 19971 20832 22824 26628 29481 30432 31248 35504 39308 39942 45648 53256 58962 62496 68789 71008 78616 79884 88443 91296 106512 117924 137578 157232 159768 176886 206367 213024 235848 275156 314464 319536 353772 412734 471696 550312 619101 639072 707544 825468 943392 1100624 1238202 1415088 1650936 2201248 2476404 2830176 3301872 4952808 6603744 9905616 19811232