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8019396 = 22327112263
BaseRepresentation
bin11110100101110111000100
3120002102112200
4132211313010
54023110041
6443514500
7125110110
oct36456704
916072480
108019396
114588100
122828a30
13187a208
1410ca740
15a861b6
hex7a5dc4

8019396 has 108 divisors (see below), whose sum is σ = 25561536. Its totient is φ = 2075040.

The previous prime is 8019353. The next prime is 8019397. The reversal of 8019396 is 6939108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8019396.

It is not an unprimeable number, because it can be changed into a prime (8019397) 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 35 ways as a sum of consecutive naturals, for example, 30361 + ... + 30623.

Almost surely, 28019396 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 8019396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780768).

8019396 is an abundant number, since it is smaller than the sum of its proper divisors (17542140).

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

8019396 is a wasteful number, since it uses less digits than its factorization.

8019396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 8019396 is about 2831.8538097861. The cubic root of 8019396 is about 200.1615028823.

It can be divided in two parts, 8019 and 396, that multiplied together give a square (3175524 = 17822).

The spelling of 8019396 in words is "eight million, nineteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 263 308 363 396 462 484 526 693 726 789 847 924 1052 1089 1386 1452 1578 1694 1841 2178 2367 2541 2772 2893 3156 3388 3682 4356 4734 5082 5523 5786 7364 7623 8679 9468 10164 11046 11572 15246 16569 17358 20251 22092 26037 30492 31823 33138 34716 40502 52074 60753 63646 66276 81004 95469 104148 121506 127292 182259 190938 222761 243012 286407 364518 381876 445522 572814 668283 729036 891044 1145628 1336566 2004849 2673132 4009698 8019396