Search a number
-
+
28636740 = 22345111607
BaseRepresentation
bin110110100111…
…1011001000100
31222212220020000
41231033121010
524312333430
62501441300
7465260016
oct155173104
958786200
1028636740
111518a230
129710230
135c18622
143b361b6
1527a9e60
hex1b4f644

28636740 has 120 divisors (see below), whose sum is σ = 98062272. Its totient is φ = 6937920.

The previous prime is 28636733. The next prime is 28636747. The reversal of 28636740 is 4763682.

It is an interprime number because it is at equal distance from previous prime (28636733) and next prime (28636747).

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

It is a junction number, because it is equal to n+sod(n) for n = 28636695 and 28636704.

It is not an unprimeable number, because it can be changed into a prime (28636747) 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 39 ways as a sum of consecutive naturals, for example, 17017 + ... + 18623.

Almost surely, 228636740 is an apocalyptic number.

28636740 is a gapful number since it is divisible by the number (20) 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 28636740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49031136).

28636740 is an abundant number, since it is smaller than the sum of its proper divisors (69425532).

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

28636740 is a wasteful number, since it uses less digits than its factorization.

28636740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28636740 is about 5351.3306756357. The cubic root of 28636740 is about 305.9434728341.

The spelling of 28636740 in words is "twenty-eight million, six hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1607 1620 1782 1980 2970 3214 3564 4455 4821 5940 6428 8035 8910 9642 14463 16070 17677 17820 19284 24105 28926 32140 35354 43389 48210 53031 57852 70708 72315 86778 88385 96420 106062 130167 144630 159093 173556 176770 212124 216945 260334 265155 289260 318186 353540 433890 477279 520668 530310 636372 650835 795465 867780 954558 1060620 1301670 1431837 1590930 1909116 2386395 2603340 2863674 3181860 4772790 5727348 7159185 9545580 14318370 28636740