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269289540 = 2232513157733
BaseRepresentation
bin10000000011010…
…000100001000100
3200202201022210200
4100003100201010
51022414231130
642415450500
76446631462
oct2003204104
9622638720
10269289540
11129009243
1276226a30
1343a37630
1427a9b832
1518994760
hex100d0844

269289540 has 144 divisors (see below), whose sum is σ = 886489968. Its totient is φ = 65774592.

The previous prime is 269289539. The next prime is 269289547. The reversal of 269289540 is 45982962.

269289540 is a `hidden beast` number, since 26 + 9 + 2 + 89 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 788544 + 268500996 = 888^2 + 16386^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (269289547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367014 + ... + 367746.

Almost surely, 2269289540 is an apocalyptic number.

269289540 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 269289540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443244984).

269289540 is an abundant number, since it is smaller than the sum of its proper divisors (617200428).

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

269289540 is a wasteful number, since it uses less digits than its factorization.

269289540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 269289540 is about 16410.0438756269. The cubic root of 269289540 is about 645.7630054625.

The spelling of 269289540 in words is "two hundred sixty-nine million, two hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 157 180 195 234 260 314 390 468 471 585 628 733 780 785 942 1170 1413 1466 1570 1884 2041 2199 2340 2355 2826 2932 3140 3665 4082 4398 4710 5652 6123 6597 7065 7330 8164 8796 9420 9529 10205 10995 12246 13194 14130 14660 18369 19058 20410 21990 24492 26388 28260 28587 30615 32985 36738 38116 40820 43980 47645 57174 61230 65970 73476 85761 91845 95290 114348 115081 122460 131940 142935 171522 183690 190580 230162 285870 343044 345243 367380 428805 460324 571740 575405 690486 857610 1035729 1150810 1380972 1496053 1715220 1726215 2071458 2301620 2992106 3452430 4142916 4488159 5178645 5984212 6904860 7480265 8976318 10357290 13464477 14960530 17952636 20714580 22440795 26928954 29921060 44881590 53857908 67322385 89763180 134644770 269289540