Search a number
-
+
1145111024 = 24178947303
BaseRepresentation
bin100010001000001…
…0000000111110000
32221210201200000102
41010100100013300
54321122023044
6305343411532
740243166051
oct10420200760
92853650012
101145111024
11538426952
1227b5b3ba8
131533169b5
14ac122728
156a7e724e
hex444101f0

1145111024 has 40 divisors (see below), whose sum is σ = 2375606880. Its totient is φ = 532809728.

The previous prime is 1145110991. The next prime is 1145111029. The reversal of 1145111024 is 4201115411.

It is a super-2 number, since 2×11451110242 = 2622558514572657152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145110987 and 1145111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145111029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557 + ... + 47859.

It is an arithmetic number, because the mean of its divisors is an integer number (59390172).

Almost surely, 21145111024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145111024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187803440).

1145111024 is an abundant number, since it is smaller than the sum of its proper divisors (1230495856).

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

1145111024 is a wasteful number, since it uses less digits than its factorization.

1145111024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47417 (or 47411 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 1145111024 is about 33839.4891214392. The cubic root of 1145111024 is about 1046.2027691676.

Adding to 1145111024 its reverse (4201115411), we get a palindrome (5346226435).

The spelling of 1145111024 in words is "one billion, one hundred forty-five million, one hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 356 712 1424 1513 3026 6052 12104 24208 47303 94606 189212 378424 756848 804151 1608302 3216604 4209967 6433208 8419934 12866416 16839868 33679736 67359472 71569439 143138878 286277756 572555512 1145111024