Search a number
-
+
1114301140 = 225435921961
BaseRepresentation
bin100001001101010…
…1110001011010100
32212122202100210121
41002122232023110
54240230114030
6302323201324
736420255241
oct10232561324
92778670717
101114301140
11521aa2a37
12271216244
13149b1a1b4
14a7dc25c8
1567c5d47a
hex426ae2d4

1114301140 has 48 divisors (see below), whose sum is σ = 2435146560. Its totient is φ = 427956480.

The previous prime is 1114301129. The next prime is 1114301143. The reversal of 1114301140 is 411034111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114301143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39760 + ... + 61720.

It is an arithmetic number, because the mean of its divisors is an integer number (50732220).

Almost surely, 21114301140 is an apocalyptic number.

1114301140 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 1114301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217573280).

1114301140 is an abundant number, since it is smaller than the sum of its proper divisors (1320845420).

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

1114301140 is a wasteful number, since it uses less digits than its factorization.

1114301140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22072 (or 22070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1114301140 is about 33381.1494709215. The cubic root of 1114301140 is about 1036.7344377048.

Adding to 1114301140 its reverse (411034111), we get a palindrome (1525335251).

The spelling of 1114301140 in words is "one billion, one hundred fourteen million, three hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 59 86 118 172 215 236 295 430 590 860 1180 2537 5074 10148 12685 21961 25370 43922 50740 87844 109805 219610 439220 944323 1295699 1888646 2591398 3777292 4721615 5182796 6478495 9443230 12956990 18886460 25913980 55715057 111430114 222860228 278575285 557150570 1114301140