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116316774 = 23273197307
BaseRepresentation
bin1101110111011…
…01101001100110
322002212111121200
412323231221212
5214234114044
615313023330
72611450650
oct673555146
9262774550
10116316774
115a726572
1232b54b46
131b1375c2
141163b6d0
15a329369
hex6eeda66

116316774 has 96 divisors (see below), whose sum is σ = 301357056. Its totient is φ = 31726080.

The previous prime is 116316749. The next prime is 116316779. The reversal of 116316774 is 477613611.

116316774 is a `hidden beast` number, since 11 + 631 + 6 + 7 + 7 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116316779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378729 + ... + 379035.

It is an arithmetic number, because the mean of its divisors is an integer number (3139136).

Almost surely, 2116316774 is an apocalyptic number.

116316774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116316774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150678528).

116316774 is an abundant number, since it is smaller than the sum of its proper divisors (185040282).

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

116316774 is a wasteful number, since it uses less digits than its factorization.

116316774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 116316774 is about 10785.0254519867. The cubic root of 116316774 is about 488.1434312557.

The spelling of 116316774 in words is "one hundred sixteen million, three hundred sixteen thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 97 126 186 194 217 279 291 307 434 558 582 614 651 679 873 921 1302 1358 1746 1842 1953 2037 2149 2763 3007 3906 4074 4298 5526 6014 6111 6447 9021 9517 12222 12894 18042 19034 19341 21049 27063 28551 29779 38682 42098 54126 57102 59558 63147 66619 85653 89337 126294 133238 171306 178674 189441 199857 208453 268011 378882 399714 416906 536022 599571 625359 923149 1199142 1250718 1846298 1876077 2769447 3752154 5538894 6462043 8308341 12924086 16616682 19386129 38772258 58158387 116316774