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117481200 = 24352472083
BaseRepresentation
bin1110000000010…
…01111011110000
322012001122220120
413000021323300
5220033344300
615354010240
72624400534
oct700117360
9265048816
10117481200
1160351401
1233416980
131b454605
1411861bc4
15a4a93a0
hex7009ef0

117481200 has 120 divisors (see below), whose sum is σ = 384523008. Its totient is φ = 30647040.

The previous prime is 117481159. The next prime is 117481201. The reversal of 117481200 is 2184711.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117481201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55359 + ... + 57441.

Almost surely, 2117481200 is an apocalyptic number.

117481200 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 117481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192261504).

117481200 is an abundant number, since it is smaller than the sum of its proper divisors (267041808).

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

117481200 is a wasteful number, since it uses less digits than its factorization.

117481200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 117481200 is about 10838.8744803139. The cubic root of 117481200 is about 489.7669306682.

The spelling of 117481200 in words is "one hundred seventeen million, four hundred eighty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 1128 1175 1200 1410 1880 2083 2256 2350 2820 3525 3760 4166 4700 5640 6249 7050 8332 9400 10415 11280 12498 14100 16664 18800 20830 24996 28200 31245 33328 41660 49992 52075 56400 62490 83320 97901 99984 104150 124980 156225 166640 195802 208300 249960 293703 312450 391604 416600 489505 499920 587406 624900 783208 833200 979010 1174812 1249800 1468515 1566416 1958020 2349624 2447525 2499600 2937030 3916040 4699248 4895050 5874060 7342575 7832080 9790100 11748120 14685150 19580200 23496240 29370300 39160400 58740600 117481200