Search a number
-
+
1113482440 = 235723374673
BaseRepresentation
bin100001001011110…
…0110010011001000
32212121012202202101
41002113212103020
54240022414230
6302253443144
736410305330
oct10227462310
92777182671
101113482440
11521593924
12270aa04b4
131498c1665
14a7c4c0c0
1567b4aaca
hex425e64c8

1113482440 has 128 divisors (see below), whose sum is σ = 3069135360. Its totient is φ = 355221504.

The previous prime is 1113482431. The next prime is 1113482527. The reversal of 1113482440 is 442843111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1113482399 and 1113482408.

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 31 ways as a sum of consecutive naturals, for example, 235944 + ... + 240616.

It is an arithmetic number, because the mean of its divisors is an integer number (23977620).

Almost surely, 21113482440 is an apocalyptic number.

1113482440 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 1113482440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534567680).

1113482440 is an abundant number, since it is smaller than the sum of its proper divisors (1955652920).

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

1113482440 is a wasteful number, since it uses less digits than its factorization.

1113482440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1113482440 is about 33368.8843085890. The cubic root of 1113482440 is about 1036.4804721147.

The spelling of 1113482440 in words is "one billion, one hundred thirteen million, four hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 37 40 46 56 70 74 92 115 140 148 161 184 185 230 259 280 296 322 370 460 518 644 740 805 851 920 1036 1288 1295 1480 1610 1702 2072 2590 3220 3404 4255 4673 5180 5957 6440 6808 8510 9346 10360 11914 17020 18692 23365 23828 29785 32711 34040 37384 46730 47656 59570 65422 93460 107479 119140 130844 163555 172901 186920 214958 238280 261688 327110 345802 429916 537395 654220 691604 752353 859832 864505 1074790 1210307 1308440 1383208 1504706 1729010 2149580 2420614 3009412 3458020 3761765 3976723 4299160 4841228 6018824 6051535 6916040 7523530 7953446 9682456 12103070 15047060 15906892 19883615 24206140 27837061 30094120 31813784 39767230 48412280 55674122 79534460 111348244 139185305 159068920 222696488 278370610 556741220 1113482440