Search a number
-
+
1119257640 = 233258813529
BaseRepresentation
bin100001010110110…
…1000010000101000
32220000002011211200
41002231220100220
54243012221030
6303021324200
736510350544
oct10255502050
92800064750
101119257640
11524878916
12272a06660
1314ab64237
14a8912a24
15683dbd60
hex42b68428

1119257640 has 96 divisors (see below), whose sum is σ = 3642748200. Its totient is φ = 298045440.

The previous prime is 1119257609. The next prime is 1119257651. The reversal of 1119257640 is 467529111.

1119257640 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 2 + 5 + 7 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 457018884 + 662238756 = 21378^2 + 25734^2 .

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 = 1119257595 and 1119257604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315396 + ... + 318924.

Almost surely, 21119257640 is an apocalyptic number.

1119257640 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 1119257640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821374100).

1119257640 is an abundant number, since it is smaller than the sum of its proper divisors (2523490560).

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

1119257640 is a wasteful number, since it uses less digits than its factorization.

1119257640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1119257640 is about 33455.3080990147. The cubic root of 1119257640 is about 1038.2693232336.

The spelling of 1119257640 in words is "one billion, one hundred nineteen million, two hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 881 1762 2643 3524 3529 4405 5286 7048 7058 7929 8810 10572 10587 13215 14116 15858 17620 17645 21144 21174 26430 28232 31716 31761 35240 35290 39645 42348 52860 52935 63432 63522 70580 79290 84696 105720 105870 127044 141160 158580 158805 211740 254088 317160 317610 423480 635220 1270440 3109049 6218098 9327147 12436196 15545245 18654294 24872392 27981441 31090490 37308588 46635735 55962882 62180980 74617176 93271470 111925764 124361960 139907205 186542940 223851528 279814410 373085880 559628820 1119257640