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1139197952 = 2112919181
BaseRepresentation
bin100001111100110…
…1100100000000000
32221101121020210202
41003321230200000
54313113313302
6305012544332
740142010554
oct10371544000
92841536722
101139197952
11535058312
122796220a8
13152026439
14ab423864
156a02a202
hex43e6c800

1139197952 has 48 divisors (see below), whose sum is σ = 2356508700. Its totient is φ = 549928960.

The previous prime is 1139197949. The next prime is 1139197957. The reversal of 1139197952 is 2597919311.

It can be written as a sum of positive squares in 2 ways, for example, as 1113957376 + 25240576 = 33376^2 + 5024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1139197897 and 1139197906.

It is not an unprimeable number, because it can be changed into a prime (1139197957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49802 + ... + 68982.

Almost surely, 21139197952 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 1139197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178254350).

1139197952 is an abundant number, since it is smaller than the sum of its proper divisors (1217310748).

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

1139197952 is an equidigital number, since it uses as much as digits as its factorization.

1139197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19232 (or 19212 counting only the distinct ones).

The product of its digits is 153090, while the sum is 47.

The square root of 1139197952 is about 33752.0066366431. The cubic root of 1139197952 is about 1044.3988826293.

The spelling of 1139197952 in words is "one billion, one hundred thirty-nine million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 7424 14848 19181 29696 38362 59392 76724 153448 306896 556249 613792 1112498 1227584 2224996 2455168 4449992 4910336 8899984 9820672 17799968 19641344 35599936 39282688 71199872 142399744 284799488 569598976 1139197952