Search a number
-
+
115064112 = 24329131631
BaseRepresentation
bin1101101101110…
…11110100110000
322000111212021210
412312323310300
5213424022422
615230120120
72565012612
oct666736460
9260455253
10115064112
1159a50409
1232650040
131aab9397
14113d2db2
15a17d10c
hex6dbbd30

115064112 has 80 divisors (see below), whose sum is σ = 310337280. Its totient is φ = 36691200.

The previous prime is 115064111. The next prime is 115064119. The reversal of 115064112 is 211460511.

It is not an unprimeable number, because it can be changed into a prime (115064111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182037 + ... + 182667.

It is an arithmetic number, because the mean of its divisors is an integer number (3879216).

Almost surely, 2115064112 is an apocalyptic number.

115064112 is a gapful number since it is divisible by the number (12) 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 115064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155168640).

115064112 is an abundant number, since it is smaller than the sum of its proper divisors (195273168).

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

115064112 is a wasteful number, since it uses less digits than its factorization.

115064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 115064112 is about 10726.7941156713. The cubic root of 115064112 is about 486.3847653282.

The spelling of 115064112 in words is "one hundred fifteen million, sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 131 174 232 262 348 393 464 524 631 696 786 1048 1262 1392 1572 1893 2096 2524 3144 3786 3799 5048 6288 7572 7598 10096 11397 15144 15196 18299 22794 30288 30392 36598 45588 54897 60784 73196 82661 91176 109794 146392 165322 182352 219588 247983 292784 330644 439176 495966 661288 878352 991932 1322576 1983864 2397169 3967728 4794338 7191507 9588676 14383014 19177352 28766028 38354704 57532056 115064112