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115114160 = 24571931349
BaseRepresentation
bin1101101110010…
…00000010110000
322000121101221102
412313020002300
5213432123120
615231143532
72565311540
oct667100260
9260541842
10115114160
1159a84a77
1232674ba8
131ab060b5
1411407320
15a18cd75
hex6dc80b0

115114160 has 160 divisors (see below), whose sum is σ = 333312000. Its totient is φ = 36080640.

The previous prime is 115114121. The next prime is 115114189. The reversal of 115114160 is 61411511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 329666 + ... + 330014.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2115114160 is an apocalyptic number.

115114160 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 115114160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656000).

115114160 is an abundant number, since it is smaller than the sum of its proper divisors (218197840).

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

115114160 is a wasteful number, since it uses less digits than its factorization.

115114160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 115114160 is about 10729.1267118997. The cubic root of 115114160 is about 486.4552740090.

Adding to 115114160 its reverse (61411511), we get a palindrome (176525671).

The spelling of 115114160 in words is "one hundred fifteen million, one hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 349 380 434 496 532 560 589 620 665 698 760 868 1064 1085 1178 1240 1330 1396 1520 1736 1745 2128 2170 2356 2443 2480 2660 2792 2945 3472 3490 4123 4340 4712 4886 5320 5584 5890 6631 6980 8246 8680 9424 9772 10640 10819 11780 12215 13262 13960 16492 17360 19544 20615 21638 23560 24430 26524 27920 32984 33155 39088 41230 43276 46417 47120 48860 53048 54095 65968 66310 75733 82460 86552 92834 97720 106096 108190 132620 151466 164920 173104 185668 195440 205561 216380 232085 265240 302932 329840 371336 378665 411122 432760 464170 530480 605864 742672 757330 822244 865520 928340 1027805 1211728 1438927 1514660 1644488 1856680 2055610 2877854 3029320 3288976 3713360 4111220 5755708 6058640 7194635 8222440 11511416 14389270 16444880 23022832 28778540 57557080 115114160