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1139891808 = 253113972719
BaseRepresentation
bin100001111110001…
…0101111001100000
32221102220111121010
41003330111321200
54313303014213
6305035500520
740150630506
oct10374257140
92842814533
101139891808
11535491650
122798b7740
1315220a1c3
14ab564676
156a115ac3
hex43f15e60

1139891808 has 96 divisors (see below), whose sum is σ = 3273661440. Its totient is φ = 344424960.

The previous prime is 1139891801. The next prime is 1139891827. The reversal of 1139891808 is 8081989311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139891801) 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, 417873 + ... + 420591.

It is an arithmetic number, because the mean of its divisors is an integer number (34100640).

Almost surely, 21139891808 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 1139891808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636830720).

1139891808 is an abundant number, since it is smaller than the sum of its proper divisors (2133769632).

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

1139891808 is a wasteful number, since it uses less digits than its factorization.

1139891808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 48.

The square root of 1139891808 is about 33762.2838090079. The cubic root of 1139891808 is about 1044.6108783745.

The spelling of 1139891808 in words is "one billion, one hundred thirty-nine million, eight hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 397 528 794 1056 1191 1588 2382 2719 3176 4367 4764 5438 6352 8157 8734 9528 10876 12704 13101 16314 17468 19056 21752 26202 29909 32628 34936 38112 43504 52404 59818 65256 69872 87008 89727 104808 119636 130512 139744 179454 209616 239272 261024 358908 419232 478544 717816 957088 1079443 1435632 2158886 2871264 3238329 4317772 6476658 8635544 11873873 12953316 17271088 23747746 25906632 34542176 35621619 47495492 51813264 71243238 94990984 103626528 142486476 189981968 284972952 379963936 569945904 1139891808