Search a number
-
+
116678172 = 2231323311049
BaseRepresentation
bin1101111010001…
…01111000011100
322010112212100210
412331011320130
5214332200142
615324452420
72614514412
oct675057034
9263485323
10116678172
115a953046
12330aa110
131b232c50
14116d32b2
15a39b49c
hex6f45e1c

116678172 has 96 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 33200640.

The previous prime is 116678119. The next prime is 116678179. The reversal of 116678172 is 271876611.

It is a super-3 number, since 3×1166781723 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 116678172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116678179) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110704 + ... + 111752.

It is an arithmetic number, because the mean of its divisors is an integer number (3292800).

Almost surely, 2116678172 is an apocalyptic number.

116678172 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 116678172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

116678172 is an abundant number, since it is smaller than the sum of its proper divisors (199430628).

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

116678172 is a wasteful number, since it uses less digits than its factorization.

116678172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 116678172 is about 10801.7670776591. The cubic root of 116678172 is about 488.6484649419.

The spelling of 116678172 in words is "one hundred sixteen million, six hundred seventy-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 23 26 31 39 46 52 62 69 78 92 93 124 138 156 186 276 299 372 403 598 713 806 897 1049 1196 1209 1426 1612 1794 2098 2139 2418 2852 3147 3588 4196 4278 4836 6294 8556 9269 12588 13637 18538 24127 27274 27807 32519 37076 40911 48254 54548 55614 65038 72381 81822 96508 97557 111228 130076 144762 163644 195114 289524 313651 390228 422747 627302 747937 845494 940953 1254604 1268241 1495874 1690988 1881906 2243811 2536482 2991748 3763812 4487622 5072964 8975244 9723181 19446362 29169543 38892724 58339086 116678172