Search a number
-
+
299045916 = 2232135691123
BaseRepresentation
bin10001110100110…
…001010000011100
3202211201002212200
4101310301100130
51103023432131
645401331500
710260563661
oct2164612034
9684632780
10299045916
11143892694
1284196b90
1349c55760
142ba05a68
151b3c12e6
hex11d3141c

299045916 has 72 divisors (see below), whose sum is σ = 816226320. Its totient is φ = 91770624.

The previous prime is 299045909. The next prime is 299045917. The reversal of 299045916 is 619540992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299045917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265731 + ... + 266853.

Almost surely, 2299045916 is an apocalyptic number.

299045916 is a gapful number since it is divisible by the number (26) 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 299045916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408113160).

299045916 is an abundant number, since it is smaller than the sum of its proper divisors (517180404).

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

299045916 is a wasteful number, since it uses less digits than its factorization.

299045916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 299045916 is about 17292.9441102433. The cubic root of 299045916 is about 668.7225350353.

The spelling of 299045916 in words is "two hundred ninety-nine million, forty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 569 1123 1138 1707 2246 2276 3369 3414 4492 5121 6738 6828 7397 10107 10242 13476 14599 14794 20214 20484 22191 29198 29588 40428 43797 44382 58396 66573 87594 88764 131391 133146 175188 262782 266292 525564 638987 1277974 1916961 2555948 3833922 5750883 7667844 8306831 11501766 16613662 23003532 24920493 33227324 49840986 74761479 99681972 149522958 299045916