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116850384 = 24337172273
BaseRepresentation
bin1101111011011…
…11111011010000
322010212121121000
412331233323100
5214403203014
615332302000
72616132450
oct675577320
9263777530
10116850384
115aa60472
1233171900
131b293451
1411739d60
15a3d2509
hex6f6fed0

116850384 has 160 divisors (see below), whose sum is σ = 406045440. Its totient is φ = 31408128.

The previous prime is 116850379. The next prime is 116850389. The reversal of 116850384 is 483058611.

116850384 is a `hidden beast` number, since 11 + 68 + 503 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (116850379) and next prime (116850389).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116850389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50272 + ... + 52544.

It is an arithmetic number, because the mean of its divisors is an integer number (2537784).

Almost surely, 2116850384 is an apocalyptic number.

116850384 is a gapful number since it is divisible by the number (14) 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 116850384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203022720).

116850384 is an abundant number, since it is smaller than the sum of its proper divisors (289195056).

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

116850384 is a wasteful number, since it uses less digits than its factorization.

116850384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 116850384 is about 10809.7356119380. The cubic root of 116850384 is about 488.8887548515. Note that the first 3 decimals are identical.

The spelling of 116850384 in words is "one hundred sixteen million, eight hundred fifty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2273 2448 2856 3024 3213 3672 4284 4546 5712 6426 6819 7344 8568 9092 12852 13638 15911 17136 18184 20457 25704 27276 31822 36368 38641 40914 47733 51408 54552 61371 63644 77282 81828 95466 109104 115923 122742 127288 143199 154564 163656 190932 231846 245484 254576 270487 286398 309128 327312 347769 381864 429597 463692 490968 540974 572796 618256 695538 763728 811461 859194 927384 981936 1043307 1081948 1145592 1391076 1622922 1718388 1854768 2086614 2163896 2291184 2434383 2782152 3245844 3436776 4173228 4327792 4868766 5564304 6491688 6873552 7303149 8346456 9737532 12983376 14606298 16692912 19475064 29212596 38950128 58425192 116850384