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115452144 = 243259107127
BaseRepresentation
bin1101110000110…
…10100011110000
322001020120120100
412320122203300
5214023432034
615242312400
72601220113
oct670324360
9261216510
10115452144
115a1959a5
12327b8700
131abc3ba2
141149457a
15a208099
hex6e1a8f0

115452144 has 120 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 37183104.

The previous prime is 115452143. The next prime is 115452209. The reversal of 115452144 is 441254511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115452143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909009 + ... + 909135.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2115452144 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 115452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

115452144 is an abundant number, since it is smaller than the sum of its proper divisors (218812176).

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

115452144 is a wasteful number, since it uses less digits than its factorization.

115452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 115452144 is about 10744.8659368091. The cubic root of 115452144 is about 486.9308988163.

It can be divided in two parts, 11545 and 2144, that added together give a square (13689 = 1172).

The spelling of 115452144 in words is "one hundred fifteen million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 107 118 127 144 177 214 236 254 321 354 381 428 472 508 531 642 708 762 856 944 963 1016 1062 1143 1284 1416 1524 1712 1926 2032 2124 2286 2568 2832 3048 3852 4248 4572 5136 6096 6313 7493 7704 8496 9144 12626 13589 14986 15408 18288 18939 22479 25252 27178 29972 37878 40767 44958 50504 54356 56817 59944 67437 75756 81534 89916 101008 108712 113634 119888 122301 134874 151512 163068 179832 217424 227268 244602 269748 303024 326136 359664 454536 489204 539496 652272 801751 909072 978408 1078992 1603502 1956816 2405253 3207004 4810506 6414008 7215759 9621012 12828016 14431518 19242024 28863036 38484048 57726072 115452144