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115732240 = 24513257433
BaseRepresentation
bin1101110010111…
…10111100010000
322001202210210021
412321132330100
5214111412430
615252313224
72603464531
oct671367420
9261683707
10115732240
115a367388
1232912814
131ac91520
1411528688
15a26107a
hex6e5ef10

115732240 has 80 divisors (see below), whose sum is σ = 291575088. Its totient is φ = 42467328.

The previous prime is 115732223. The next prime is 115732241. The reversal of 115732240 is 42237511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2862864 + 112869376 = 1692^2 + 10624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (115732241) 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, 267064 + ... + 267496.

Almost surely, 2115732240 is an apocalyptic number.

115732240 is a gapful number since it is divisible by the number (10) 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 115732240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145787544).

115732240 is an abundant number, since it is smaller than the sum of its proper divisors (175842848).

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

115732240 is a wasteful number, since it uses less digits than its factorization.

115732240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 115732240 is about 10757.8919868160. The cubic root of 115732240 is about 487.3243583780.

Adding to 115732240 its reverse (42237511), we get a palindrome (157969751).

The spelling of 115732240 in words is "one hundred fifteen million, seven hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 257 260 433 514 520 866 1028 1040 1285 1732 2056 2165 2570 3341 3464 4112 4330 5140 5629 6682 6928 8660 10280 11258 13364 16705 17320 20560 22516 26728 28145 33410 34640 45032 53456 56290 66820 90064 111281 112580 133640 222562 225160 267280 445124 450320 556405 890248 1112810 1446653 1780496 2225620 2893306 4451240 5786612 7233265 8902480 11573224 14466530 23146448 28933060 57866120 115732240