Search a number
-
+
1145360 = 245103139
BaseRepresentation
bin100010111101000010000
32011012010202
410113220100
5243122420
640314332
712510146
oct4275020
92135122
101145360
11712587
124729a8
13311438
1421b596
15179575
hex117a10

1145360 has 40 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 450432.

The previous prime is 1145359. The next prime is 1145369. The reversal of 1145360 is 635411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1145369) 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, 8171 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

21145360 is an apocalyptic number.

1145360 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 1145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

1145360 is an abundant number, since it is smaller than the sum of its proper divisors (1562800).

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

1145360 is a wasteful number, since it uses less digits than its factorization.

1145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1145360 is about 1070.2149316843. The cubic root of 1145360 is about 104.6278587290.

The spelling of 1145360 in words is "one million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 139 206 278 412 515 556 695 824 1030 1112 1390 1648 2060 2224 2780 4120 5560 8240 11120 14317 28634 57268 71585 114536 143170 229072 286340 572680 1145360