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115201424 = 24133714969
BaseRepresentation
bin1101101110111…
…01010110010000
322000202211122102
412313131112100
5213442421144
615233055532
72566124132
oct667352620
9260684572
10115201424
115a034598
12326b75a8
131ab36a30
141142b052
15a1a8b4e
hex6ddd590

115201424 has 40 divisors (see below), whose sum is σ = 246885240. Its totient is φ = 51729408.

The previous prime is 115201409. The next prime is 115201433. The reversal of 115201424 is 424102511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 114918400 = 532^2 + 10720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 115201396 and 115201405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 15180.

It is an arithmetic number, because the mean of its divisors is an integer number (6172131).

Almost surely, 2115201424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123442620).

115201424 is an abundant number, since it is smaller than the sum of its proper divisors (131683816).

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

115201424 is a wasteful number, since it uses less digits than its factorization.

115201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15027 (or 15021 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 115201424 is about 10733.1926284773. The cubic root of 115201424 is about 486.5781645116.

Adding to 115201424 its reverse (424102511), we get a palindrome (539303935).

The spelling of 115201424 in words is "one hundred fifteen million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 14969 29938 59876 119752 194597 239504 389194 553853 778388 1107706 1556776 2215412 3113552 4430824 7200089 8861648 14400178 28800356 57600712 115201424