Search a number
-
+
1115396640 = 253252113671
BaseRepresentation
bin100001001111011…
…1001101000100000
32212201211000112200
41002132321220200
54241020143030
6302402453200
736432500151
oct10236715040
92781730480
101115396640
11522681006
12271664200
1314a111a17
14a81c9928
1567dc7d60
hex427b9a20

1115396640 has 144 divisors (see below), whose sum is σ = 3825372096. Its totient is φ = 295948800.

The previous prime is 1115396627. The next prime is 1115396657. The reversal of 1115396640 is 466935111.

1115396640 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 3 + 9 + 6 + 640 = 666.

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

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 = 1115396595 and 1115396604.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 302005 + ... + 305675.

It is an arithmetic number, because the mean of its divisors is an integer number (26565084).

Almost surely, 21115396640 is an apocalyptic number.

1115396640 is a gapful number since it is divisible by the number (10) 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 1115396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912686048).

1115396640 is an abundant number, since it is smaller than the sum of its proper divisors (2709975456).

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

1115396640 is a wasteful number, since it uses less digits than its factorization.

1115396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1115396640 is about 33397.5544014828. The cubic root of 1115396640 is about 1037.0740737768.

The spelling of 1115396640 in words is "one billion, one hundred fifteen million, three hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 211 240 288 360 422 480 633 720 844 1055 1266 1440 1688 1899 2110 2532 3165 3376 3671 3798 4220 5064 6330 6752 7342 7596 8440 9495 10128 11013 12660 14684 15192 16880 18355 18990 20256 22026 25320 29368 30384 33039 33760 36710 37980 44052 50640 55065 58736 60768 66078 73420 75960 88104 101280 110130 117472 132156 146840 151920 165195 176208 220260 264312 293680 303840 330390 352416 440520 528624 587360 660780 774581 881040 1057248 1321560 1549162 1762080 2323743 2643120 3098324 3872905 4647486 5286240 6196648 6971229 7745810 9294972 11618715 12393296 13942458 15491620 18589944 23237430 24786592 27884916 30983240 34856145 37179888 46474860 55769832 61966480 69712290 74359776 92949720 111539664 123932960 139424580 185899440 223079328 278849160 371798880 557698320 1115396640