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117040 = 24571119
BaseRepresentation
bin11100100100110000
312221112211
4130210300
512221130
62301504
7665140
oct344460
9187484
10117040
117aa30
1257894
1341371
1430920
1524a2a
hex1c930

117040 has 80 divisors (see below), whose sum is σ = 357120. Its totient is φ = 34560.

The previous prime is 117037. The next prime is 117041. The reversal of 117040 is 40711.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 117040.

It is not an unprimeable number, because it can be changed into a prime (117041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6151 + ... + 6169.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2117040 is an apocalyptic number.

117040 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 117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

117040 is an abundant number, since it is smaller than the sum of its proper divisors (240080).

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

117040 is a wasteful number, since it uses less digits than its factorization.

117040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 117040 is about 342.1110930677. Note that the first 3 decimals coincide. The cubic root of 117040 is about 48.9153055887.

Adding to 117040 its reverse (40711), we get a palindrome (157751).

The spelling of 117040 in words is "one hundred seventeen thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 11 14 16 19 20 22 28 35 38 40 44 55 56 70 76 77 80 88 95 110 112 133 140 152 154 176 190 209 220 266 280 304 308 380 385 418 440 532 560 616 665 760 770 836 880 1045 1064 1232 1330 1463 1520 1540 1672 2090 2128 2660 2926 3080 3344 4180 5320 5852 6160 7315 8360 10640 11704 14630 16720 23408 29260 58520 117040