Search a number
-
+
115113120 = 25351714107
BaseRepresentation
bin1101101110001…
…11110010100000
322000121100111220
412313013302200
5213432104440
615231135040
72565305523
oct667076240
9260540456
10115113120
1159a84211
1232674480
131ab05795
1411406bba
15a18c8d0
hex6dc7ca0

115113120 has 96 divisors (see below), whose sum is σ = 383963328. Its totient is φ = 28889088.

The previous prime is 115113067. The next prime is 115113121. The reversal of 115113120 is 21311511.

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

It is a super-2 number, since 2×1151131202 = 26502060792268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 115113120.

It is not an unprimeable number, because it can be changed into a prime (115113121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107 + ... + 15213.

It is an arithmetic number, because the mean of its divisors is an integer number (3999618).

Almost surely, 2115113120 is an apocalyptic number.

115113120 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 115113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191981664).

115113120 is an abundant number, since it is smaller than the sum of its proper divisors (268850208).

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

115113120 is a wasteful number, since it uses less digits than its factorization.

115113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14142 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 115113120 is about 10729.0782455903. The cubic root of 115113120 is about 486.4538090430.

Adding to 115113120 its reverse (21311511), we get a palindrome (136424631).

The spelling of 115113120 in words is "one hundred fifteen million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 14107 28214 42321 56428 70535 84642 112856 141070 169284 211605 225712 239819 282140 338568 423210 451424 479638 564280 677136 719457 846420 959276 1128560 1199095 1354272 1438914 1692840 1918552 2257120 2398190 2877828 3385680 3597285 3837104 4796380 5755656 6771360 7194570 7674208 9592760 11511312 14389140 19185520 23022624 28778280 38371040 57556560 115113120