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116500352 = 274179281
BaseRepresentation
bin1101111000110…
…10011110000000
322010012211102212
412330122132000
5214311002402
615321001252
72613144113
oct674323600
9263184385
10116500352
115a841491
1233023228
131b1a0027
141168857a
15a363952
hex6f1a780

116500352 has 64 divisors (see below), whose sum is σ = 241617600. Its totient is φ = 55910400.

The previous prime is 116500331. The next prime is 116500361. The reversal of 116500352 is 253005611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1165003522 = 27144664032247808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414452 + ... + 414732.

It is an arithmetic number, because the mean of its divisors is an integer number (3775275).

Almost surely, 2116500352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120808800).

116500352 is an abundant number, since it is smaller than the sum of its proper divisors (125117248).

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

116500352 is an equidigital number, since it uses as much as digits as its factorization.

116500352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 116500352 is about 10793.5328785343. The cubic root of 116500352 is about 488.4001018664.

Adding to 116500352 its reverse (253005611), we get a palindrome (369505963).

The spelling of 116500352 in words is "one hundred sixteen million, five hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 79 82 128 158 164 281 316 328 562 632 656 1124 1264 1312 2248 2528 2624 3239 4496 5056 5248 6478 8992 10112 11521 12956 17984 22199 23042 25912 35968 44398 46084 51824 88796 92168 103648 177592 184336 207296 355184 368672 414592 710368 737344 910159 1420736 1474688 1820318 2841472 3640636 7281272 14562544 29125088 58250176 116500352