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299680056 = 233213353907
BaseRepresentation
bin10001110111001…
…100000100111000
3202212220022202100
4101313030010320
51103204230211
645423103400
710266144534
oct2167140470
9685808670
10299680056
11144186075
1284441b60
134a1182a0
142bb2cbc4
151b499156
hex11dcc138

299680056 has 96 divisors (see below), whose sum is σ = 877509360. Its totient is φ = 91846656.

The previous prime is 299680013. The next prime is 299680091. The reversal of 299680056 is 650086992.

It is a junction number, because it is equal to n+sod(n) for n = 299679993 and 299680020.

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 23 ways as a sum of consecutive naturals, for example, 329955 + ... + 330861.

Almost surely, 2299680056 is an apocalyptic number.

299680056 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 299680056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438754680).

299680056 is an abundant number, since it is smaller than the sum of its proper divisors (577829304).

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

299680056 is a wasteful number, since it uses less digits than its factorization.

299680056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 299680056 is about 17311.2696241495. The cubic root of 299680056 is about 669.1948864812.

The spelling of 299680056 in words is "two hundred ninety-nine million, six hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 353 468 706 907 936 1059 1412 1814 2118 2721 2824 3177 3628 4236 4589 5442 6354 7256 8163 8472 9178 10884 11791 12708 13767 16326 18356 21768 23582 25416 27534 32652 35373 36712 41301 47164 55068 65304 70746 82602 94328 106119 110136 141492 165204 212238 282984 320171 330408 424476 640342 848952 960513 1280684 1921026 2561368 2881539 3842052 4162223 5763078 7684104 8324446 11526156 12486669 16648892 23052312 24973338 33297784 37460007 49946676 74920014 99893352 149840028 299680056