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116718240 = 2535733331
BaseRepresentation
bin1101111010011…
…11101010100000
322010121220022210
412331033222200
5214334440430
615325402120
72615042262
oct675175240
9263556283
10116718240
115a980161
1233109340
131b248262
1411703b32
15a3a82b0
hex6f4faa0

116718240 has 96 divisors (see below), whose sum is σ = 372810816. Its totient is φ = 30689280.

The previous prime is 116718227. The next prime is 116718253. The reversal of 116718240 is 42817611.

It is an interprime number because it is at equal distance from previous prime (116718227) and next prime (116718253).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116718198 and 116718207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33375 + ... + 36705.

It is an arithmetic number, because the mean of its divisors is an integer number (3883446).

Almost surely, 2116718240 is an apocalyptic number.

116718240 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 116718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186405408).

116718240 is an abundant number, since it is smaller than the sum of its proper divisors (256092576).

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

116718240 is a wasteful number, since it uses less digits than its factorization.

116718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 116718240 is about 10803.6216149956. The cubic root of 116718240 is about 488.7043935005.

The spelling of 116718240 in words is "one hundred sixteen million, seven hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3331 3504 4380 5840 6662 7008 8760 9993 11680 13324 16655 17520 19986 26648 33310 35040 39972 49965 53296 66620 79944 99930 106592 133240 159888 199860 243163 266480 319776 399720 486326 532960 729489 799440 972652 1215815 1458978 1598880 1945304 2431630 2917956 3647445 3890608 4863260 5835912 7294890 7781216 9726520 11671824 14589780 19453040 23343648 29179560 38906080 58359120 116718240