Search a number
-
+
1140200112 = 2431032111093
BaseRepresentation
bin100001111110110…
…0001001010110000
32221110111011111210
41003331201022300
54313342400422
6305050240120
740153353402
oct10375411260
92843434453
101140200112
11535682247
12279a26040
131522b762c
14ab604b72
156a17710c
hex43f612b0

1140200112 has 80 divisors (see below), whose sum is σ = 2990943488. Its totient is φ = 374250240.

The previous prime is 1140200069. The next prime is 1140200123. The reversal of 1140200112 is 2110020411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1042638 + ... + 1043730.

Almost surely, 21140200112 is an apocalyptic number.

1140200112 is a gapful number since it is divisible by the number (12) 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 1140200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495471744).

1140200112 is an abundant number, since it is smaller than the sum of its proper divisors (1850743376).

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

1140200112 is a wasteful number, since it uses less digits than its factorization.

1140200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1140200112 is about 33766.8493051987. The cubic root of 1140200112 is about 1044.7050477448.

Adding to 1140200112 its reverse (2110020411), we get a palindrome (3250220523).

The spelling of 1140200112 in words is "one billion, one hundred forty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 211 309 412 422 618 633 824 844 1093 1236 1266 1648 1688 2186 2472 2532 3279 3376 4372 4944 5064 6558 8744 10128 13116 17488 21733 26232 43466 52464 65199 86932 112579 130398 173864 225158 230623 260796 337737 347728 450316 461246 521592 675474 691869 900632 922492 1043184 1350948 1383738 1801264 1844984 2701896 2767476 3689968 5403792 5534952 11069904 23754169 47508338 71262507 95016676 142525014 190033352 285050028 380066704 570100056 1140200112