Search a number
-
+
1918728 = 2336747
BaseRepresentation
bin111010100011100001000
310121111000000
413110130020
5442344403
6105043000
722210650
oct7243410
93544000
101918728
1110a0629
12786460
13522456
1437d360
1527d7a3
hex1d4708

1918728 has 112 divisors (see below), whose sum is σ = 6295680. Its totient is φ = 536544.

The previous prime is 1918687. The next prime is 1918733. The reversal of 1918728 is 8278191.

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

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 = 1918692 and 1918701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40801 + ... + 40847.

21918728 is an apocalyptic number.

1918728 is a gapful number since it is divisible by the number (18) 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 1918728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147840).

1918728 is an abundant number, since it is smaller than the sum of its proper divisors (4376952).

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

1918728 is an equidigital number, since it uses as much as digits as its factorization.

1918728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 1918728 is about 1385.1815765451. The cubic root of 1918728 is about 124.2618469542.

The spelling of 1918728 in words is "one million, nine hundred eighteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 243 252 282 324 329 376 378 423 486 504 564 567 648 658 729 756 846 972 987 1128 1134 1269 1316 1458 1512 1692 1701 1944 1974 2268 2538 2632 2916 2961 3384 3402 3807 3948 4536 5076 5103 5832 5922 6804 7614 7896 8883 10152 10206 11421 11844 13608 15228 17766 20412 22842 23688 26649 30456 34263 35532 40824 45684 53298 68526 71064 79947 91368 106596 137052 159894 213192 239841 274104 319788 479682 639576 959364 1918728