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117191808 = 2732234423
BaseRepresentation
bin1101111110000…
…11010010000000
322011111221221100
412333003102000
5220000114213
615343454400
72622054036
oct677032200
9264457840
10117191808
1160173a38
12332b7400
131b382986
14117c8556
15a44d773
hex6fc3480

117191808 has 96 divisors (see below), whose sum is σ = 351973440. Its totient is φ = 37357056.

The previous prime is 117191807. The next prime is 117191827. The reversal of 117191808 is 808191711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (117191803) 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, 24285 + ... + 28707.

It is an arithmetic number, because the mean of its divisors is an integer number (3666390).

Almost surely, 2117191808 is an apocalyptic number.

117191808 is a gapful number since it is divisible by the number (18) 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 117191808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175986720).

117191808 is an abundant number, since it is smaller than the sum of its proper divisors (234781632).

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

117191808 is a wasteful number, since it uses less digits than its factorization.

117191808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The square root of 117191808 is about 10825.5165234736. The cubic root of 117191808 is about 489.3644516059.

The spelling of 117191808 in words is "one hundred seventeen million, one hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 4423 6624 8832 8846 13248 13269 17692 26496 26538 35384 39807 53076 70768 79614 101729 106152 141536 159228 203458 212304 283072 305187 318456 406916 424608 566144 610374 636912 813832 849216 915561 1220748 1273824 1627664 1698432 1831122 2441496 2547648 3255328 3662244 4882992 5095296 6510656 7324488 9765984 13021312 14648976 19531968 29297952 39063936 58595904 117191808