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115303136 = 2513318941
BaseRepresentation
bin1101101111101…
…10001011100000
322000222000011112
412313312023200
5214004200021
615235202452
72600026514
oct667661340
9260860145
10115303136
115a0a3a53
1232746428
131ab71110
1411456144
15a1c8d5b
hex6df62e0

115303136 has 48 divisors (see below), whose sum is σ = 252379008. Its totient is φ = 51494400.

The previous prime is 115303127. The next prime is 115303171. The reversal of 115303136 is 631303511.

It is a happy number.

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, 8426 + ... + 17366.

It is an arithmetic number, because the mean of its divisors is an integer number (5257896).

Almost surely, 2115303136 is an apocalyptic number.

115303136 is a gapful number since it is divisible by the number (16) 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 115303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126189504).

115303136 is an abundant number, since it is smaller than the sum of its proper divisors (137075872).

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

115303136 is a wasteful number, since it uses less digits than its factorization.

115303136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 115303136 is about 10737.9297818527. The cubic root of 115303136 is about 486.7213232749.

Adding to 115303136 its reverse (631303511), we get a palindrome (746606647).

The spelling of 115303136 in words is "one hundred fifteen million, three hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 8941 12896 17882 35764 71528 116233 143056 232466 277171 286112 464932 554342 929864 1108684 1859728 2217368 3603223 3719456 4434736 7206446 8869472 14412892 28825784 57651568 115303136