Search a number
-
+
1145340540 = 2233513915259
BaseRepresentation
bin100010001000100…
…1000001001111100
32221211011022212000
41010101020021330
54321201344130
6305352342300
740245143151
oct10421101174
92854138760
101145340540
11538573333
1227b6a4990
131533972c6
14ac182228
156a840260
hex4444827c

1145340540 has 96 divisors (see below), whose sum is σ = 3589152000. Its totient is φ = 303206976.

The previous prime is 1145340517. The next prime is 1145340563. The reversal of 1145340540 is 450435411.

It is a happy number.

1145340540 is a `hidden beast` number, since 114 + 5 + 3 + 4 + 0 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (1145340517) and next prime (1145340563).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 67431 + ... + 82689.

It is an arithmetic number, because the mean of its divisors is an integer number (37387000).

Almost surely, 21145340540 is an apocalyptic number.

1145340540 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 1145340540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794576000).

1145340540 is an abundant number, since it is smaller than the sum of its proper divisors (2443811460).

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

1145340540 is a wasteful number, since it uses less digits than its factorization.

1145340540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1145340540 is about 33842.8801965790. The cubic root of 1145340540 is about 1046.2726617309.

Adding to 1145340540 its reverse (450435411), we get a palindrome (1595775951).

The spelling of 1145340540 in words is "one billion, one hundred forty-five million, three hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 12510 15012 15259 18765 25020 30518 37530 45777 61036 75060 76295 91554 137331 152590 183108 228885 274662 305180 411993 457770 549324 686655 823986 915540 1373310 1647972 2059965 2121001 2746620 4119930 4242002 6363003 8239860 8484004 10605005 12726006 19089009 21210010 25452012 31815015 38178018 42420020 57267027 63630030 76356036 95445045 114534054 127260060 190890090 229068108 286335135 381780180 572670270 1145340540