Search a number
-
+
115032528 = 24331320483
BaseRepresentation
bin1101101101101…
…00000111010000
322000110020222000
412312310013100
5213422020103
615225314000
72564521542
oct666640720
9260406860
10115032528
1159a29706
1232635900
131aaa7bb0
14113c5692
15a173aa3
hex6db41d0

115032528 has 80 divisors (see below), whose sum is σ = 355602240. Its totient is φ = 35392896.

The previous prime is 115032527. The next prime is 115032529. The reversal of 115032528 is 825230511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115032527) and next prime (115032529).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115032527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4626 + ... + 15857.

It is an arithmetic number, because the mean of its divisors is an integer number (4445028).

Almost surely, 2115032528 is an apocalyptic number.

115032528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115032528 is an abundant number, since it is smaller than the sum of its proper divisors (240569712).

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

115032528 is a wasteful number, since it uses less digits than its factorization.

115032528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20513 (or 20501 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115032528 is about 10725.3218133537. The cubic root of 115032528 is about 486.3402585978.

The spelling of 115032528 in words is "one hundred fifteen million, thirty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 20483 40966 61449 81932 122898 163864 184347 245796 266279 327728 368694 491592 532558 553041 737388 798837 983184 1065116 1106082 1474776 1597674 2130232 2212164 2396511 2949552 3195348 4260464 4424328 4793022 6390696 7189533 8848656 9586044 12781392 14379066 19172088 28758132 38344176 57516264 115032528