Search a number
-
+
1136140110 = 232576072971
BaseRepresentation
bin100001110111000…
…0001111101001110
32221011211220020100
41003232001331032
54311322440420
6304423231530
740104013560
oct10356017516
92834756210
101136140110
11533359976
122785a85a6
131514c5671
14aac69330
1569b24190
hex43b81f4e

1136140110 has 96 divisors (see below), whose sum is σ = 3382659072. Its totient is φ = 259174080.

The previous prime is 1136140079. The next prime is 1136140123. The reversal of 1136140110 is 110416311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380925 + ... + 383895.

It is an arithmetic number, because the mean of its divisors is an integer number (35236032).

Almost surely, 21136140110 is an apocalyptic number.

1136140110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136140110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691329536).

1136140110 is an abundant number, since it is smaller than the sum of its proper divisors (2246518962).

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

1136140110 is a wasteful number, since it uses less digits than its factorization.

1136140110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1136140110 is about 33706.6775283474. The cubic root of 1136140110 is about 1043.4635846962.

Adding to 1136140110 its reverse (110416311), we get a palindrome (1246556421).

It can be divided in two parts, 1136 and 140110, that added together give a triangular number (141246 = T531).

The spelling of 1136140110 in words is "one billion, one hundred thirty-six million, one hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 607 630 1214 1821 2971 3035 3642 4249 5463 5942 6070 8498 8913 9105 10926 12747 14855 17826 18210 20797 21245 25494 26739 27315 29710 38241 41594 42490 44565 53478 54630 62391 63735 76482 89130 103985 124782 127470 133695 187173 191205 207970 267390 311955 374346 382410 623910 935865 1803397 1871730 3606794 5410191 9016985 10820382 12623779 16230573 18033970 25247558 27050955 32461146 37871337 54101910 63118895 75742674 81152865 113614011 126237790 162305730 189356685 227228022 378713370 568070055 1136140110