Search a number
-
+
115037172 = 2235196229
BaseRepresentation
bin1101101101101…
…01001111110100
322000110111100000
412312311033310
5213422142142
615225351300
72564541225
oct666651764
9260414300
10115037172
1159a32148
1232638530
131aaaa043
14113c724c
15a17514c
hex6db53f4

115037172 has 72 divisors (see below), whose sum is σ = 317480800. Its totient is φ = 36321696.

The previous prime is 115037159. The next prime is 115037173. The reversal of 115037172 is 271730511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115037173) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15354 + ... + 21582.

Almost surely, 2115037172 is an apocalyptic number.

115037172 is a gapful number since it is divisible by the number (12) 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 115037172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158740400).

115037172 is an abundant number, since it is smaller than the sum of its proper divisors (202443628).

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

115037172 is a wasteful number, since it uses less digits than its factorization.

115037172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 115037172 is about 10725.5383081690. The cubic root of 115037172 is about 486.3468032214.

Adding to 115037172 its reverse (271730511), we get a palindrome (386767683).

The spelling of 115037172 in words is "one hundred fifteen million, thirty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 6229 9234 12458 18468 18687 24916 37374 56061 74748 112122 118351 168183 224244 236702 336366 355053 473404 504549 672732 710106 1009098 1065159 1420212 1513647 2018196 2130318 3027294 3195477 4260636 6054588 6390954 9586431 12781908 19172862 28759293 38345724 57518586 115037172