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117887940 = 22335435077
BaseRepresentation
bin1110000011011…
…01001111000100
322012211022212000
413001231033010
5220134403230
615410425300
72631013422
oct701551704
9265738760
10117887940
11605a9a55
1233592230
131b5677a1
141192a112
15a539b60
hex706d3c4

117887940 has 96 divisors (see below), whose sum is σ = 375365760. Its totient is φ = 30699648.

The previous prime is 117887933. The next prime is 117888011. The reversal of 117887940 is 49788711.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 20682 + ... + 25758.

It is an arithmetic number, because the mean of its divisors is an integer number (3910060).

Almost surely, 2117887940 is an apocalyptic number.

117887940 is a gapful number since it is divisible by the number (10) 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 117887940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187682880).

117887940 is an abundant number, since it is smaller than the sum of its proper divisors (257477820).

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

117887940 is a wasteful number, since it uses less digits than its factorization.

117887940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 117887940 is about 10857.6212864513. The cubic root of 117887940 is about 490.3314985747.

The spelling of 117887940 in words is "one hundred seventeen million, eight hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5077 5805 7740 10154 11610 15231 20308 23220 25385 30462 45693 50770 60924 76155 91386 101540 137079 152310 182772 218311 228465 274158 304620 436622 456930 548316 654933 685395 873244 913860 1091555 1309866 1370790 1964799 2183110 2619732 2741580 3274665 3929598 4366220 5894397 6549330 7859196 9823995 11788794 13098660 19647990 23577588 29471985 39295980 58943970 117887940