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116688384 = 293323367
BaseRepresentation
bin1101111010010…
…00011000000000
322010120101101000
412331020120000
5214333012014
615325012000
72614556241
oct675103000
9263511330
10116688384
115a95a78a
12330b4000
131b2377a7
14116d6cc8
15a39e509
hex6f48600

116688384 has 160 divisors (see below), whose sum is σ = 361405440. Its totient is φ = 37103616.

The previous prime is 116688359. The next prime is 116688389. The reversal of 116688384 is 483886611.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116688389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317769 + ... + 318135.

It is an arithmetic number, because the mean of its divisors is an integer number (2258784).

Almost surely, 2116688384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180702720).

116688384 is an abundant number, since it is smaller than the sum of its proper divisors (244717056).

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

116688384 is an equidigital number, since it uses as much as digits as its factorization.

116688384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 116688384 is about 10802.2397677519. The cubic root of 116688384 is about 488.6627204862.

The spelling of 116688384 in words is "one hundred sixteen million, six hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 367 368 384 414 432 512 552 576 621 734 736 768 828 864 1101 1104 1152 1242 1468 1472 1536 1656 1728 2202 2208 2304 2484 2936 2944 3303 3312 3456 4404 4416 4608 4968 5872 5888 6606 6624 6912 8441 8808 8832 9909 9936 11744 11776 13212 13248 13824 16882 17616 17664 19818 19872 23488 25323 26424 26496 33764 35232 35328 39636 39744 46976 50646 52848 52992 67528 70464 75969 79272 79488 93952 101292 105696 105984 135056 140928 151938 158544 158976 187904 202584 211392 227907 270112 281856 303876 317088 317952 405168 422784 455814 540224 563712 607752 634176 810336 845568 911628 1080448 1215504 1268352 1620672 1691136 1823256 2160896 2431008 2536704 3241344 3646512 4321792 4862016 5073408 6482688 7293024 9724032 12965376 14586048 19448064 29172096 38896128 58344192 116688384