Search a number
-
+
1145240140 = 2251133115727
BaseRepresentation
bin100010001000010…
…1111101001001100
32221210222020010111
41010100233221030
54321140141030
6305350245404
740244244352
oct10420575114
92853866114
101145240140
11538504960
1227b656864
131533606b5
14ac1577d2
156a82062a
hex4442fa4c

1145240140 has 48 divisors (see below), whose sum is σ = 2631734784. Its totient is φ = 415166400.

The previous prime is 1145240123. The next prime is 1145240147. The reversal of 1145240140 is 410425411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1145240147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64957 + ... + 80683.

It is an arithmetic number, because the mean of its divisors is an integer number (54827808).

Almost surely, 21145240140 is an apocalyptic number.

1145240140 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 1145240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315867392).

1145240140 is an abundant number, since it is smaller than the sum of its proper divisors (1486494644).

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

1145240140 is a wasteful number, since it uses less digits than its factorization.

1145240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16078 (or 16076 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1145240140 is about 33841.3968387831. The cubic root of 1145240140 is about 1046.2420889183.

Adding to 1145240140 its reverse (410425411), we get a palindrome (1555665551).

The spelling of 1145240140 in words is "one billion, one hundred forty-five million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3310 3641 6620 7282 14564 15727 18205 31454 36410 62908 72820 78635 157270 172997 314540 345994 691988 864985 1729970 3459940 5205637 10411274 20822548 26028185 52056370 57262007 104112740 114524014 229048028 286310035 572620070 1145240140