Search a number
-
+
1340111020 = 2251716324181
BaseRepresentation
bin100111111100000…
…0111100010101100
310110101122200201111
41033320013202230
510221032023040
6340551121404
745131520133
oct11770074254
93411580644
101340111020
11628504276
12314973264
13184840201
14c9da291a
157c9b4dea
hex4fe078ac

1340111020 has 48 divisors (see below), whose sum is σ = 2998181088. Its totient is φ = 501396480.

The previous prime is 1340111009. The next prime is 1340111033. The reversal of 1340111020 is 201110431.

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, 43330 + ... + 67510.

It is an arithmetic number, because the mean of its divisors is an integer number (62462106).

Almost surely, 21340111020 is an apocalyptic number.

1340111020 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 1340111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499090544).

1340111020 is an abundant number, since it is smaller than the sum of its proper divisors (1658070068).

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

1340111020 is a wasteful number, since it uses less digits than its factorization.

1340111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24370 (or 24368 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1340111020 is about 36607.5268216797. The cubic root of 1340111020 is about 1102.5042175338.

Adding to 1340111020 its reverse (201110431), we get a palindrome (1541221451).

The spelling of 1340111020 in words is "one billion, three hundred forty million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 163 170 326 340 652 815 1630 2771 3260 5542 11084 13855 24181 27710 48362 55420 96724 120905 241810 411077 483620 822154 1644308 2055385 3941503 4110770 7883006 8221540 15766012 19707515 39415030 67005551 78830060 134011102 268022204 335027755 670055510 1340111020