Search a number
-
+
1373323616 = 25719132099
BaseRepresentation
bin101000111011011…
…0100000101100000
310112201011001211122
41101312310011200
510303032323431
6344135031412
746014025640
oct12166640540
93481131748
101373323616
116452293a5
12323b0b568
1318b69b532
14d056a520
1580875a7b
hex51db4160

1373323616 has 48 divisors (see below), whose sum is σ = 3106252800. Its totient is φ = 585467520.

The previous prime is 1373323607. The next prime is 1373323649. The reversal of 1373323616 is 6163233731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26735 + ... + 58833.

It is an arithmetic number, because the mean of its divisors is an integer number (64713600).

Almost surely, 21373323616 is an apocalyptic number.

1373323616 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 1373323616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553126400).

1373323616 is an abundant number, since it is smaller than the sum of its proper divisors (1732929184).

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

1373323616 is a wasteful number, since it uses less digits than its factorization.

1373323616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32307 (or 32299 counting only the distinct ones).

The product of its digits is 40824, while the sum is 35.

The square root of 1373323616 is about 37058.3811842881. The cubic root of 1373323616 is about 1111.5379530651.

The spelling of 1373323616 in words is "one billion, three hundred seventy-three million, three hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 764 1337 1528 2674 3056 5348 6112 10696 21392 32099 42784 64198 128396 224693 256792 449386 513584 898772 1027168 1797544 3595088 6130909 7190176 12261818 24523636 42916363 49047272 85832726 98094544 171665452 196189088 343330904 686661808 1373323616