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117918040 = 23543179383
BaseRepresentation
bin1110000011101…
…00100101011000
322012212212010211
413001310211120
5220141334130
615411220504
72631200242
oct701644530
9265785124
10117918040
116061a629
12335a7734
131b5783b6
1411937092
15a543a2a
hex7074958

117918040 has 64 divisors (see below), whose sum is σ = 273715200. Its totient is φ = 45693312.

The previous prime is 117918037. The next prime is 117918041. The reversal of 117918040 is 40819711.

It is a junction number, because it is equal to n+sod(n) for n = 117917993 and 117918011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117918041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307689 + ... + 308071.

It is an arithmetic number, because the mean of its divisors is an integer number (4276800).

Almost surely, 2117918040 is an apocalyptic number.

117918040 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 117918040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136857600).

117918040 is an abundant number, since it is smaller than the sum of its proper divisors (155797160).

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

117918040 is a wasteful number, since it uses less digits than its factorization.

117918040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 117918040 is about 10859.0073211137. The cubic root of 117918040 is about 490.3732266829.

The spelling of 117918040 in words is "one hundred seventeen million, nine hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 179 215 344 358 383 430 716 766 860 895 1432 1532 1720 1790 1915 3064 3580 3830 7160 7660 7697 15320 15394 16469 30788 32938 38485 61576 65876 68557 76970 82345 131752 137114 153940 164690 274228 307880 329380 342785 548456 658760 685570 1371140 2742280 2947951 5895902 11791804 14739755 23583608 29479510 58959020 117918040