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115681300 = 22527592801
BaseRepresentation
bin1101110010100…
…10100000010100
322001200012220121
412321102200110
5214103300200
615251241324
72603163160
oct671224024
9261605817
10115681300
115a332089
12328a9244
131ac74297
1411513ca0
15a250e1a
hex6e52814

115681300 has 72 divisors (see below), whose sum is σ = 291856320. Its totient is φ = 38976000.

The previous prime is 115681273. The next prime is 115681303. The reversal of 115681300 is 3186511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115681303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39900 + ... + 42700.

It is an arithmetic number, because the mean of its divisors is an integer number (4053560).

Almost surely, 2115681300 is an apocalyptic number.

115681300 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 115681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145928160).

115681300 is an abundant number, since it is smaller than the sum of its proper divisors (176175020).

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

115681300 is a wasteful number, since it uses less digits than its factorization.

115681300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 115681300 is about 10755.5241620295. The cubic root of 115681300 is about 487.2528486418.

The spelling of 115681300 in words is "one hundred fifteen million, six hundred eighty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 826 1180 1475 1652 2065 2801 2950 4130 5602 5900 8260 10325 11204 14005 19607 20650 28010 39214 41300 56020 70025 78428 98035 140050 165259 196070 280100 330518 392140 490175 661036 826295 980350 1156813 1652590 1960700 2313626 3305180 4131475 4627252 5784065 8262950 11568130 16525900 23136260 28920325 57840650 115681300