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117384192 = 2103247271
BaseRepresentation
bin1101111111100…
…10010000000000
322011212201211200
412333302100000
5220022243232
615351541200
72623514652
oct677622000
9264781750
10117384192
1160295532
123338a800
131b41c403
14118386d2
15a48a77c
hex6ff2400

117384192 has 132 divisors (see below), whose sum is σ = 347433216. Its totient is φ = 38154240.

The previous prime is 117384187. The next prime is 117384193. The reversal of 117384192 is 291483711.

It is a happy number.

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 (117384193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433017 + ... + 433287.

Almost surely, 2117384192 is an apocalyptic number.

117384192 is a gapful number since it is divisible by the number (12) 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 117384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173716608).

117384192 is an abundant number, since it is smaller than the sum of its proper divisors (230049024).

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

117384192 is a wasteful number, since it uses less digits than its factorization.

117384192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 117384192 is about 10834.3985527578. The cubic root of 117384192 is about 489.6320881186.

The spelling of 117384192 in words is "one hundred seventeen million, three hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 271 282 288 376 384 423 512 542 564 576 752 768 813 846 1024 1084 1128 1152 1504 1536 1626 1692 2168 2256 2304 2439 3008 3072 3252 3384 4336 4512 4608 4878 6016 6504 6768 8672 9024 9216 9756 12032 12737 13008 13536 17344 18048 19512 24064 25474 26016 27072 34688 36096 38211 39024 48128 50948 52032 54144 69376 72192 76422 78048 101896 104064 108288 114633 138752 144384 152844 156096 203792 208128 216576 229266 277504 305688 312192 407584 416256 433152 458532 611376 624384 815168 832512 917064 1222752 1248768 1630336 1834128 2445504 2497536 3260672 3668256 4891008 6521344 7336512 9782016 13042688 14673024 19564032 29346048 39128064 58692096 117384192