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115102368 = 2532795059
BaseRepresentation
bin1101101110001…
…01001010100000
322000120210202200
412313011022200
5213431233433
615231013200
72565232263
oct667051240
9260523680
10115102368
1159a77127
123266a200
131ab00914
1411402cda
15a189613
hex6dc52a0

115102368 has 72 divisors (see below), whose sum is σ = 331531200. Its totient is φ = 37874304.

The previous prime is 115102343. The next prime is 115102369. The reversal of 115102368 is 863201511.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (115102369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20223 + ... + 25281.

It is an arithmetic number, because the mean of its divisors is an integer number (4604600).

Almost surely, 2115102368 is an apocalyptic number.

115102368 is a gapful number since it is divisible by the number (18) 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 115102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165765600).

115102368 is an abundant number, since it is smaller than the sum of its proper divisors (216428832).

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

115102368 is a wasteful number, since it uses less digits than its factorization.

115102368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 115102368 is about 10728.5771656823. The cubic root of 115102368 is about 486.4386630307.

Adding to 115102368 its reverse (863201511), we get a palindrome (978303879).

The spelling of 115102368 in words is "one hundred fifteen million, one hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5059 5688 7584 10118 11376 15177 20236 22752 30354 40472 45531 60708 80944 91062 121416 161888 182124 242832 364248 399661 485664 728496 799322 1198983 1456992 1598644 2397966 3197288 3596949 4795932 6394576 7193898 9591864 12789152 14387796 19183728 28775592 38367456 57551184 115102368