Search a number
-
+
115276928 = 27132732
BaseRepresentation
bin1101101111011…
…11110010000000
322000220200012212
412313233302000
5214002330203
615234441252
72566560224
oct667576200
9260820185
10115276928
115a086298
1232733228
131ab62200
141144a784
15a1c11d8
hex6defc80

115276928 has 72 divisors (see below), whose sum is σ = 252130995. Its totient is φ = 52475904.

The previous prime is 115276921. The next prime is 115276939. The reversal of 115276928 is 829672511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 22963264 + 92313664 = 4792^2 + 9608^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7592.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115276921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1579100 + ... + 1579172.

Almost surely, 2115276928 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 115276928

115276928 is an abundant number, since it is smaller than the sum of its proper divisors (136854067).

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

115276928 is an frugal number, since it uses more digits than its factorization.

115276928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 88 counting only the distinct ones).

The product of its digits is 60480, while the sum is 41.

The square root of 115276928 is about 10736.7093655365. The cubic root of 115276928 is about 486.6844437951.

The spelling of 115276928 in words is "one hundred fifteen million, two hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 169 208 292 338 416 584 676 832 949 1168 1352 1664 1898 2336 2704 3796 4672 5329 5408 7592 9344 10658 10816 12337 15184 21316 21632 24674 30368 42632 49348 60736 69277 85264 98696 121472 138554 170528 197392 277108 341056 394784 554216 682112 789568 900601 1108432 1579136 1801202 2216864 3602404 4433728 7204808 8867456 14409616 28819232 57638464 115276928