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299116620 = 2232511197951
BaseRepresentation
bin10001110101000…
…010100001001100
3202211211200212100
4101311002201030
51103033212440
645403035100
710261310055
oct2165024114
9684750770
10299116620
11143930820
128420ba90
1349c7b9aa
142ba2372c
151b3d7230
hex11d4284c

299116620 has 144 divisors (see below), whose sum is σ = 1042030080. Its totient is φ = 68688000.

The previous prime is 299116619. The next prime is 299116627. The reversal of 299116620 is 26611992.

299116620 is a `hidden beast` number, since 29 + 9 + 1 + 1 + 6 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (299116627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33645 + ... + 41595.

It is an arithmetic number, because the mean of its divisors is an integer number (7236320).

Almost surely, 2299116620 is an apocalyptic number.

299116620 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 299116620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521015040).

299116620 is an abundant number, since it is smaller than the sum of its proper divisors (742913460).

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

299116620 is a wasteful number, since it uses less digits than its factorization.

299116620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7991 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 299116620 is about 17294.9882914097. The cubic root of 299116620 is about 668.7752333333.

The spelling of 299116620 in words is "two hundred ninety-nine million, one hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 7951 9405 12540 15902 18810 23853 31804 37620 39755 47706 71559 79510 87461 95412 119265 143118 151069 159020 174922 238530 262383 286236 302138 349844 357795 437305 453207 477060 524766 604276 715590 755345 787149 874610 906414 1049532 1311915 1359621 1431180 1510690 1574298 1661759 1749220 1812828 2266035 2623830 2719242 3021380 3148596 3323518 3935745 4532070 4985277 5247660 5438484 6647036 6798105 7871490 8308795 9064140 9970554 13596210 14955831 15742980 16617590 19941108 24926385 27192420 29911662 33235180 49852770 59823324 74779155 99705540 149558310 299116620