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115041000 = 23353311237
BaseRepresentation
bin1101101101101…
…10001011101000
322000110200120210
412312312023220
5213422303000
615225421120
72564555334
oct666661350
9260420523
10115041000
1159a35008
123263a7a0
131aaab9c9
14113c87c4
15a176350
hex6db62e8

115041000 has 128 divisors (see below), whose sum is σ = 370805760. Its totient is φ = 29664000.

The previous prime is 115040929. The next prime is 115041001. The reversal of 115041000 is 140511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (115041001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92382 + ... + 93618.

It is an arithmetic number, because the mean of its divisors is an integer number (2896920).

Almost surely, 2115041000 is an apocalyptic number.

115041000 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 115041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185402880).

115041000 is an abundant number, since it is smaller than the sum of its proper divisors (255764760).

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

115041000 is a wasteful number, since it uses less digits than its factorization.

115041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 115041000 is about 10725.7167592660. The cubic root of 115041000 is about 486.3521977528.

Adding to 115041000 its reverse (140511), we get a palindrome (115181511).

The spelling of 115041000 in words is "one hundred fifteen million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1237 1240 1500 1550 1860 2325 2474 3000 3100 3711 3720 3875 4650 4948 6185 6200 7422 7750 9300 9896 11625 12370 14844 15500 18555 18600 23250 24740 29688 30925 31000 37110 38347 46500 49480 61850 74220 76694 92775 93000 115041 123700 148440 153388 154625 185550 191735 230082 247400 306776 309250 371100 383470 460164 463875 575205 618500 742200 766940 920328 927750 958675 1150410 1237000 1533880 1855500 1917350 2300820 2876025 3711000 3834700 4601640 4793375 5752050 7669400 9586750 11504100 14380125 19173500 23008200 28760250 38347000 57520500 115041000