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115020 = 2234571
BaseRepresentation
bin11100000101001100
312211210000
4130011030
512140040
62244300
7656223
oct340514
9184700
10115020
1179464
1256690
1340479
142dcba
1524130
hex1c14c

115020 has 60 divisors (see below), whose sum is σ = 365904. Its totient is φ = 30240.

The previous prime is 115019. The next prime is 115021. The reversal of 115020 is 20511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115019) and next prime (115021).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 114993 and 115011.

It is not an unprimeable number, because it can be changed into a prime (115021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1585 + ... + 1655.

2115020 is an apocalyptic number.

115020 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 115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952).

115020 is an abundant number, since it is smaller than the sum of its proper divisors (250884).

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

115020 is a wasteful number, since it uses less digits than its factorization.

115020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 115020 is about 339.1459862655. The cubic root of 115020 is about 48.6322602456.

Adding to 115020 its reverse (20511), we get a palindrome (135531).

The spelling of 115020 in words is "one hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 270 284 324 355 405 426 540 639 710 810 852 1065 1278 1420 1620 1917 2130 2556 3195 3834 4260 5751 6390 7668 9585 11502 12780 19170 23004 28755 38340 57510 115020