Search a number
-
+
115004032 = 27111361103
BaseRepresentation
bin1101101101011…
…01001010000000
322000101210212121
412312231022000
5213420112112
615224534024
72564342503
oct666551200
9260353777
10115004032
1159a0a260
1232621314
131aa97c30
14113b913a
15a16a407
hex6dad280

115004032 has 128 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 47001600.

The previous prime is 115004023. The next prime is 115004033. The reversal of 115004032 is 230400511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 115003997 and 115004015.

It is not an unprimeable number, because it can be changed into a prime (115004033) 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, 1116493 + ... + 1116595.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2115004032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

115004032 is an abundant number, since it is smaller than the sum of its proper divisors (161228288).

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

115004032 is a wasteful number, since it uses less digits than its factorization.

115004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 115004032 is about 10723.9932860852. The cubic root of 115004032 is about 486.3000963447.

Adding to 115004032 its reverse (230400511), we get a palindrome (345404543).

The spelling of 115004032 in words is "one hundred fifteen million, four thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 61 64 88 103 104 122 128 143 176 206 208 244 286 352 412 416 488 572 671 704 793 824 832 976 1133 1144 1339 1342 1408 1586 1648 1664 1952 2266 2288 2678 2684 3172 3296 3904 4532 4576 5356 5368 6283 6344 6592 7808 8723 9064 9152 10712 10736 12566 12688 13184 14729 17446 18128 18304 21424 21472 25132 25376 29458 34892 36256 42848 42944 50264 50752 58916 69113 69784 72512 81679 85696 85888 100528 101504 117832 138226 139568 145024 163358 171392 201056 235664 276452 279136 326716 402112 471328 552904 558272 653432 804224 898469 942656 1105808 1116544 1306864 1796938 1885312 2211616 2613728 3593876 4423232 5227456 7187752 8846464 10454912 14375504 28751008 57502016 115004032