Search a number
-
+
1139759808 = 263111094951
BaseRepresentation
bin100001111101111…
…0101101011000000
32221102122210112020
41003323311223000
54313234303213
6305033001440
740146540615
oct10373655300
92842583466
101139759808
11535401460
12279853280
131521920b5
14ab52c50c
156a0db923
hex43ef5ac0

1139759808 has 112 divisors (see below), whose sum is σ = 3320613120. Its totient is φ = 342144000.

The previous prime is 1139759759. The next prime is 1139759837. The reversal of 1139759808 is 8089579311.

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, 227733 + ... + 232683.

Almost surely, 21139759808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139759808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660306560).

1139759808 is an abundant number, since it is smaller than the sum of its proper divisors (2180853312).

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

1139759808 is a wasteful number, since it uses less digits than its factorization.

1139759808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 51.

The square root of 1139759808 is about 33760.3289083504. The cubic root of 1139759808 is about 1044.5705546766.

The spelling of 1139759808 in words is "one billion, one hundred thirty-nine million, seven hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 132 176 192 218 264 327 352 436 528 654 704 872 1056 1199 1308 1744 2112 2398 2616 3488 3597 4796 4951 5232 6976 7194 9592 9902 10464 14388 14853 19184 19804 20928 28776 29706 38368 39608 54461 57552 59412 76736 79216 108922 115104 118824 158432 163383 217844 230208 237648 316864 326766 435688 475296 539659 653532 871376 950592 1079318 1307064 1618977 1742752 2158636 2614128 3237954 3485504 4317272 5228256 5936249 6475908 8634544 10456512 11872498 12951816 17269088 17808747 23744996 25903632 34538176 35617494 47489992 51807264 71234988 94979984 103614528 142469976 189959968 284939952 379919936 569879904 1139759808