Search a number
-
+
116699616 = 2534114093
BaseRepresentation
bin1101111010010…
…11000111100000
322010120221210000
412331023013200
5214333341431
615325140000
72614634055
oct675130740
9263527700
10116699616
115a968170
12330ba600
131b23c937
14116db02c
15a3a29e6
hex6f4b1e0

116699616 has 120 divisors (see below), whose sum is σ = 374502744. Its totient is φ = 35354880.

The previous prime is 116699599. The next prime is 116699617. The reversal of 116699616 is 616996611.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116699617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26466 + ... + 30558.

Almost surely, 2116699616 is an apocalyptic number.

116699616 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 116699616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187251372).

116699616 is an abundant number, since it is smaller than the sum of its proper divisors (257803128).

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

116699616 is a wasteful number, since it uses less digits than its factorization.

116699616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4109 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 116699616 is about 10802.7596474234. The cubic root of 116699616 is about 488.6783989494.

The spelling of 116699616 in words is "one hundred sixteen million, six hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4093 4752 7128 8186 9504 12279 14256 16372 24558 28512 32744 36837 45023 49116 65488 73674 90046 98232 110511 130976 135069 147348 180092 196464 221022 270138 294696 331533 360184 392928 405207 442044 540276 589392 663066 720368 810414 884088 1080552 1178784 1215621 1326132 1440736 1620828 1768176 2161104 2431242 2652264 3241656 3536352 3646863 4322208 4862484 5304528 6483312 7293726 9724968 10609056 12966624 14587452 19449936 29174904 38899872 58349808 116699616