Search a number
-
+
1140414340 = 2251310934013
BaseRepresentation
bin100001111111001…
…0101011110000100
32221110220001101011
41003332111132010
54313421224330
6305055012004
740155235102
oct10376253604
92843801334
101140414340
1153580919a
12279b0a004
13152360cb0
14ab65cc72
156a1ba82a
hex43f95784

1140414340 has 48 divisors (see below), whose sum is σ = 2582093808. Its totient is φ = 420585984.

The previous prime is 1140414323. The next prime is 1140414367. The reversal of 1140414340 is 434140411.

It can be written as a sum of positive squares in 8 ways, for example, as 70862724 + 1069551616 = 8418^2 + 32704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282174 + ... + 286186.

It is an arithmetic number, because the mean of its divisors is an integer number (53793621).

Almost surely, 21140414340 is an apocalyptic number.

1140414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140414340 is an abundant number, since it is smaller than the sum of its proper divisors (1441679468).

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

1140414340 is a wasteful number, since it uses less digits than its factorization.

1140414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1140414340 is about 33770.0213206921. The cubic root of 1140414340 is about 1044.7704722422.

Adding to 1140414340 its reverse (434140411), we get a palindrome (1574554751).

The spelling of 1140414340 in words is "one billion, one hundred forty million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1093 2186 4013 4372 5465 8026 10930 14209 16052 20065 21860 28418 40130 52169 56836 71045 80260 104338 142090 208676 260845 284180 521690 1043380 4386209 8772418 17544836 21931045 43862090 57020717 87724180 114041434 228082868 285103585 570207170 1140414340