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115440 = 24351337
BaseRepresentation
bin11100001011110000
312212100120
4130023300
512143230
62250240
7660363
oct341360
9185316
10115440
1179806
1256980
1340710
14300da
1524310
hex1c2f0

115440 has 80 divisors (see below), whose sum is σ = 395808. Its totient is φ = 27648.

The previous prime is 115429. The next prime is 115459. The reversal of 115440 is 44511.

115440 is a nontrivial binomial coefficient, being equal to C(481, 2).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

115440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3102 + ... + 3138.

2115440 is an apocalyptic number.

115440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115440 is the 480-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904).

115440 is an abundant number, since it is smaller than the sum of its proper divisors (280368).

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

115440 is a wasteful number, since it uses less digits than its factorization.

115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 115440 is about 339.7646244093. The cubic root of 115440 is about 48.6913825375.

Adding to 115440 its reverse (44511), we get a palindrome (159951).

It can be divided in two parts, 115 and 440, that added together give a palindrome (555).

The spelling of 115440 in words is "one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 260 296 312 370 390 444 481 520 555 592 624 740 780 888 962 1040 1110 1443 1480 1560 1776 1924 2220 2405 2886 2960 3120 3848 4440 4810 5772 7215 7696 8880 9620 11544 14430 19240 23088 28860 38480 57720 115440