Search a number
-
+
115091400 = 23352433443
BaseRepresentation
bin1101101110000…
…10011111001000
322000120020201110
412313002133020
5213430411100
615230450320
72565155304
oct667023710
9260506643
10115091400
1159a69966
12326639a0
131aac8928
14113dcd04
15a186250
hex6dc27c8

115091400 has 96 divisors (see below), whose sum is σ = 358414560. Its totient is φ = 30551040.

The previous prime is 115091399. The next prime is 115091407. The reversal of 115091400 is 4190511.

It is not an unprimeable number, because it can be changed into a prime (115091407) 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, 259579 + ... + 260021.

It is an arithmetic number, because the mean of its divisors is an integer number (3733485).

Almost surely, 2115091400 is an apocalyptic number.

115091400 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 115091400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179207280).

115091400 is an abundant number, since it is smaller than the sum of its proper divisors (243323160).

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

115091400 is a wasteful number, since it uses less digits than its factorization.

115091400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 115091400 is about 10728.0659953227. The cubic root of 115091400 is about 486.4232117739.

The spelling of 115091400 in words is "one hundred fifteen million, ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 433 443 600 866 886 1299 1329 1732 1772 2165 2215 2598 2658 3464 3544 4330 4430 5196 5316 6495 6645 8660 8860 10392 10632 10825 11075 12990 13290 17320 17720 21650 22150 25980 26580 32475 33225 43300 44300 51960 53160 64950 66450 86600 88600 129900 132900 191819 259800 265800 383638 575457 767276 959095 1150914 1534552 1918190 2301828 2877285 3836380 4603656 4795475 5754570 7672760 9590950 11509140 14386425 19181900 23018280 28772850 38363800 57545700 115091400