Search a number
-
+
115416192 = 273532107
BaseRepresentation
bin1101110000100…
…01110010000000
322001011202020210
412320101302000
5214021304232
615241434120
72601010233
oct670216200
9261152223
10115416192
115a170991
123279b940
131abb0708
141148541a
15a1ec5cc
hex6e11c80

115416192 has 96 divisors (see below), whose sum is σ = 315388080. Its totient is φ = 37393408.

The previous prime is 115416187. The next prime is 115416199. The reversal of 115416192 is 291614511.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (115416199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078603 + ... + 1078709.

Almost surely, 2115416192 is an apocalyptic number.

115416192 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 115416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157694040).

115416192 is an abundant number, since it is smaller than the sum of its proper divisors (199971888).

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

115416192 is an equidigital number, since it uses as much as digits as its factorization.

115416192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 165 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 115416192 is about 10743.1928215033. The cubic root of 115416192 is about 486.8803498571.

The spelling of 115416192 in words is "one hundred fifteen million, four hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 107 128 159 192 212 214 318 321 384 424 428 636 642 848 856 1272 1284 1696 1712 2544 2568 2809 3392 3424 5088 5136 5618 5671 6784 6848 8427 10176 10272 11236 11342 13696 16854 17013 20352 20544 22472 22684 33708 34026 41088 44944 45368 67416 68052 89888 90736 134832 136104 179776 181472 269664 272208 300563 359552 362944 539328 544416 601126 725888 901689 1078656 1088832 1202252 1803378 2177664 2404504 3606756 4809008 7213512 9618016 14427024 19236032 28854048 38472064 57708096 115416192