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115409216 = 26132337163
BaseRepresentation
bin1101110000100…
…00000101000000
322001011101200102
412320100011000
5214021043331
615241341532
72600651006
oct670200500
9261141612
10115409216
115a16671a
12327978a8
131abaa4a0
1411482a76
15a1ea4cb
hex6e10140

115409216 has 112 divisors (see below), whose sum is σ = 265931904. Its totient is φ = 49268736.

The previous prime is 115409207. The next prime is 115409221. The reversal of 115409216 is 612904511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707951 + ... + 708113.

It is an arithmetic number, because the mean of its divisors is an integer number (2374392).

Almost surely, 2115409216 is an apocalyptic number.

115409216 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 115409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132965952).

115409216 is an abundant number, since it is smaller than the sum of its proper divisors (150522688).

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

115409216 is a wasteful number, since it uses less digits than its factorization.

115409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 115409216 is about 10742.8681458910. The cubic root of 115409216 is about 486.8705402984.

The spelling of 115409216 in words is "one hundred fifteen million, four hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 32 37 46 52 64 74 92 104 148 163 184 208 296 299 326 368 416 481 592 598 652 736 832 851 962 1184 1196 1304 1472 1702 1924 2119 2368 2392 2608 3404 3749 3848 4238 4784 5216 6031 6808 7498 7696 8476 9568 10432 11063 12062 13616 14996 15392 16952 19136 22126 24124 27232 29992 30784 33904 44252 48248 48737 54464 59984 67808 78403 88504 96496 97474 119968 135616 138713 156806 177008 192992 194948 239936 277426 313612 354016 385984 389896 554852 627224 708032 779792 1109704 1254448 1559584 1803269 2219408 2508896 3119168 3606538 4438816 5017792 7213076 8877632 14426152 28852304 57704608 115409216