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299521920 = 2735732137
BaseRepresentation
bin10001110110100…
…101011110000000
3202212121021211110
4101312211132000
51103134200140
645415443320
710264615515
oct2166453600
9685537743
10299521920
11144088285
1284386540
134a091309
142bacb30c
151b467380
hex11da5780

299521920 has 128 divisors (see below), whose sum is σ = 968257440. Its totient is φ = 78741504.

The previous prime is 299521903. The next prime is 299521927. The reversal of 299521920 is 29125992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299521927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 139092 + ... + 141228.

Almost surely, 2299521920 is an apocalyptic number.

299521920 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 299521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484128720).

299521920 is an abundant number, since it is smaller than the sum of its proper divisors (668735520).

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

299521920 is a wasteful number, since it uses less digits than its factorization.

299521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 299521920 is about 17306.7015921579. The cubic root of 299521920 is about 669.0771582355.

The spelling of 299521920 in words is "two hundred ninety-nine million, five hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1095 1168 1460 1752 1920 2137 2190 2336 2920 3504 4274 4380 4672 5840 6411 7008 8548 8760 9344 10685 11680 12822 14016 17096 17520 21370 23360 25644 28032 32055 34192 35040 42740 46720 51288 64110 68384 70080 85480 102576 128220 136768 140160 156001 170960 205152 256440 273536 312002 341920 410304 468003 512880 624004 683840 780005 820608 936006 1025760 1248008 1367680 1560010 1872012 2051520 2340015 2496016 3120020 3744024 4103040 4680030 4992032 6240040 7488048 9360060 9984064 12480080 14976096 18720120 19968128 24960160 29952192 37440240 49920320 59904384 74880480 99840640 149760960 299521920