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117166084 = 227191131949
BaseRepresentation
bin1101111101111…
…01000000000100
322011110122122121
412332331000010
5214443303314
615343135324
72621616040
oct676750004
9264418577
10117166084
1160156682
12332a4544
131b374059
14117bd020
15a445d24
hex6fbd004

117166084 has 48 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 47126016.

The previous prime is 117166079. The next prime is 117166109. The reversal of 117166084 is 480661711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59142 + ... + 61090.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2117166084 is an apocalyptic number.

117166084 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 117166084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

117166084 is an abundant number, since it is smaller than the sum of its proper divisors (131809916).

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

117166084 is a wasteful number, since it uses less digits than its factorization.

117166084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 117166084 is about 10824.3283394398. The cubic root of 117166084 is about 489.3286432659.

The spelling of 117166084 in words is "one hundred seventeen million, one hundred sixty-six thousand, eighty-four".

Divisors: 1 2 4 7 14 19 28 38 76 113 133 226 266 452 532 791 1582 1949 2147 3164 3898 4294 7796 8588 13643 15029 27286 30058 37031 54572 60116 74062 148124 220237 259217 440474 518434 880948 1036868 1541659 3083318 4184503 6166636 8369006 16738012 29291521 58583042 117166084