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116216352 = 25327173391
BaseRepresentation
bin1101110110101…
…01001000100000
322002200101212100
412323111020200
5214222410402
615310530400
72610552120
oct673251040
9262611770
10116216352
115a66807a
1232b06a00
131b100995
1411612c80
15a30971c
hex6ed5220

116216352 has 144 divisors (see below), whose sum is σ = 400038912. Its totient is φ = 31242240.

The previous prime is 116216341. The next prime is 116216377. The reversal of 116216352 is 253612611.

116216352 is a `hidden beast` number, since 1 + 1 + 6 + 21 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32577 + ... + 35967.

It is an arithmetic number, because the mean of its divisors is an integer number (2778048).

Almost surely, 2116216352 is an apocalyptic number.

116216352 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 116216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200019456).

116216352 is an abundant number, since it is smaller than the sum of its proper divisors (283822560).

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

116216352 is a wasteful number, since it uses less digits than its factorization.

116216352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3420 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 116216352 is about 10780.3688248594. The cubic root of 116216352 is about 488.0029113864.

Adding to 116216352 its reverse (253612611), we get a palindrome (369828963).

The spelling of 116216352 in words is "one hundred sixteen million, two hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3391 3808 4284 4896 5712 6782 8568 10173 11424 13564 17136 20346 23737 27128 30519 34272 40692 47474 54256 57647 61038 71211 81384 94948 108512 115294 122076 142422 162768 172941 189896 213633 230588 244152 284844 325536 345882 379792 403529 427266 461176 488304 518823 569688 691764 759584 807058 854532 922352 976608 1037646 1139376 1210587 1383528 1614116 1709064 1844704 2075292 2278752 2421174 2767056 3228232 3418128 3631761 4150584 4842348 5534112 6456464 6836256 7263522 8301168 9684696 12912928 14527044 16602336 19369392 29054088 38738784 58108176 116216352