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299659680 = 253251712241
BaseRepresentation
bin10001110111000…
…111000110100000
3202212212021210200
4101313013012200
51103203102210
645422425200
710266031245
oct2167070640
9685767720
10299659680
11144171831
1284432200
134a10bc28
142bb255cc
151b4930c0
hex11dc71a0

299659680 has 144 divisors (see below), whose sum is σ = 1082829384. Its totient is φ = 75202560.

The previous prime is 299659673. The next prime is 299659691. The reversal of 299659680 is 86956992.

It can be written as a sum of positive squares in 4 ways, for example, as 244484496 + 55175184 = 15636^2 + 7428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

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, 18360 + ... + 30600.

Almost surely, 2299659680 is an apocalyptic number.

299659680 is a gapful number since it is divisible by the number (20) 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 299659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541414692).

299659680 is an abundant number, since it is smaller than the sum of its proper divisors (783169704).

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

299659680 is a wasteful number, since it uses less digits than its factorization.

299659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 299659680 is about 17310.6810957859. The cubic root of 299659680 is about 669.1797193902.

The spelling of 299659680 in words is "two hundred ninety-nine million, six hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 12241 24480 24482 36723 48964 61205 73446 97928 110169 122410 146892 183615 195856 208097 220338 244820 293784 367230 391712 416194 440676 489640 550845 587568 624291 734460 832388 881352 979280 1040485 1101690 1175136 1248582 1468920 1664776 1762704 1872873 1958560 2080970 2203380 2497164 2937840 3121455 3329552 3525408 3745746 4161940 4406760 4994328 5875680 6242910 6659104 7491492 8323880 8813520 9364365 9988656 12485820 14982984 16647760 17627040 18728730 19977312 24971640 29965968 33295520 37457460 49943280 59931936 74914920 99886560 149829840 299659680