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117785940 = 223519277373
BaseRepresentation
bin1110000010101…
…00010101010100
322012122010221020
413001110111110
5220123122230
615404321140
72630110146
oct701242524
9265563836
10117785940
116053a358
12335431b0
131b53022c
1411900c96
15a519810
hex7054554

117785940 has 96 divisors (see below), whose sum is σ = 349345920. Its totient is φ = 29569536.

The previous prime is 117785929. The next prime is 117785951. The reversal of 117785940 is 49587711.

It is an interprime number because it is at equal distance from previous prime (117785929) and next prime (117785951).

It is a junction number, because it is equal to n+sod(n) for n = 117785892 and 117785901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315594 + ... + 315966.

It is an arithmetic number, because the mean of its divisors is an integer number (3639020).

Almost surely, 2117785940 is an apocalyptic number.

117785940 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 117785940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174672960).

117785940 is an abundant number, since it is smaller than the sum of its proper divisors (231559980).

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

117785940 is a wasteful number, since it uses less digits than its factorization.

117785940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 117785940 is about 10852.9231085455. The cubic root of 117785940 is about 490.1900415146.

The spelling of 117785940 in words is "one hundred seventeen million, seven hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 277 285 373 380 554 570 746 831 1108 1119 1140 1385 1492 1662 1865 2238 2770 3324 3730 4155 4476 5263 5540 5595 7087 7460 8310 10526 11190 14174 15789 16620 21052 21261 22380 26315 28348 31578 35435 42522 52630 63156 70870 78945 85044 103321 105260 106305 141740 157890 206642 212610 309963 315780 413284 425220 516605 619926 1033210 1239852 1549815 1963099 2066420 3099630 3926198 5889297 6199260 7852396 9815495 11778594 19630990 23557188 29446485 39261980 58892970 117785940