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116125240 = 235711371019
BaseRepresentation
bin1101110101111…
…10111000111000
322002111202212211
412322332320320
5214212001430
615304544504
72610022360
oct672767070
9262452784
10116125240
115a605680
1232a82134
131b09b37a
14115cb9a0
15a2dc72a
hex6ebee38

116125240 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 35182080.

The previous prime is 116125231. The next prime is 116125253. The reversal of 116125240 is 42521611.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113451 + ... + 114469.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2116125240 is an apocalyptic number.

116125240 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 116125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

116125240 is an abundant number, since it is smaller than the sum of its proper divisors (218761160).

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

116125240 is a wasteful number, since it uses less digits than its factorization.

116125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 116125240 is about 10776.1421668425. The cubic root of 116125240 is about 487.8753488848.

Adding to 116125240 its reverse (42521611), we get a palindrome (158646851).

The spelling of 116125240 in words is "one hundred sixteen million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 37 40 44 55 56 70 74 77 88 110 140 148 154 185 220 259 280 296 308 370 385 407 440 518 616 740 770 814 1019 1036 1295 1480 1540 1628 2035 2038 2072 2590 2849 3080 3256 4070 4076 5095 5180 5698 7133 8140 8152 10190 10360 11209 11396 14245 14266 16280 20380 22418 22792 28490 28532 35665 37703 40760 44836 56045 56980 57064 71330 75406 78463 89672 112090 113960 142660 150812 156926 188515 224180 263921 285320 301624 313852 377030 392315 414733 448360 527842 627704 754060 784630 829466 1055684 1319605 1508120 1569260 1658932 2073665 2111368 2639210 2903131 3138520 3317864 4147330 5278420 5806262 8294660 10556840 11612524 14515655 16589320 23225048 29031310 58062620 116125240