Search a number
-
+
115062048 = 253267289
BaseRepresentation
bin1101101101110…
…11010100100000
322000111202110100
412312323110200
5213423441143
615230102400
72565003603
oct666732440
9260452410
10115062048
1159a49902
123264aa00
131aab846a
14113d233a
15a17c6d3
hex6dbb520

115062048 has 108 divisors (see below), whose sum is σ = 335896470. Its totient is φ = 37357056.

The previous prime is 115062047. The next prime is 115062061. The reversal of 115062048 is 840260511.

It can be written as a sum of positive squares in only one way, i.e., 109244304 + 5817744 = 10452^2 + 2412^2 .

It is not an unprimeable number, because it can be changed into a prime (115062041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1292788 + ... + 1292876.

Almost surely, 2115062048 is an apocalyptic number.

115062048 is a gapful number since it is divisible by the number (18) 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 115062048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167948235).

115062048 is an abundant number, since it is smaller than the sum of its proper divisors (220834422).

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

115062048 is an equidigital number, since it uses as much as digits as its factorization.

115062048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115062048 is about 10726.6979075576. The cubic root of 115062048 is about 486.3818570824.

The spelling of 115062048 in words is "one hundred fifteen million, sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 89 96 134 144 178 201 267 268 288 356 402 534 536 603 712 801 804 1068 1072 1206 1424 1602 1608 2136 2144 2412 2848 3204 3216 4272 4489 4824 5963 6408 6432 8544 8978 9648 11926 12816 13467 17889 17956 19296 23852 25632 26934 35778 35912 40401 47704 53667 53868 71556 71824 80802 95408 107334 107736 143112 143648 161604 190816 214668 215472 286224 323208 399521 429336 430944 572448 646416 799042 858672 1198563 1292832 1598084 1717344 2397126 3196168 3595689 4794252 6392336 7191378 9588504 12784672 14382756 19177008 28765512 38354016 57531024 115062048