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1139697216 = 2635719229
BaseRepresentation
bin100001111101110…
…0110011001000000
32221102112121200000
41003323212121000
54313230302331
6305031400000
740146160260
oct10373463100
92842477600
101139697216
11535369429
12279823000
1315216c768
14ab5137a0
156a0c80e6
hex43ee6640

1139697216 has 504 divisors, whose sum is σ = 4227088320. Its totient is φ = 297851904.

The previous prime is 1139697203. The next prime is 1139697217. The reversal of 1139697216 is 6127969311.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139697217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39299890 + ... + 39299918.

It is an arithmetic number, because the mean of its divisors is an integer number (8387080).

Almost surely, 21139697216 is an apocalyptic number.

1139697216 is a gapful number since it is divisible by the number (16) 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 1139697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113544160).

1139697216 is an abundant number, since it is smaller than the sum of its proper divisors (3087391104).

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

1139697216 is an equidigital number, since it uses as much as digits as its factorization.

1139697216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 1139697216 is about 33759.4018904364. The cubic root of 1139697216 is about 1044.5514328240.

The spelling of 1139697216 in words is "one billion, one hundred thirty-nine million, six hundred ninety-seven thousand, two hundred sixteen".