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115661216 = 2511457719
BaseRepresentation
bin1101110010011…
…01100110100000
322001122012100202
412321031212200
5214102124331
615251004332
72603050466
oct671154640
9261565322
10115661216
115a318a90
12328996a8
131ac680b8
141150a836
15a249ecb
hex6e4d9a0

115661216 has 48 divisors (see below), whose sum is σ = 249298560. Its totient is φ = 52385280.

The previous prime is 115661209. The next prime is 115661237. The reversal of 115661216 is 612166511.

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, 160505 + ... + 161223.

It is an arithmetic number, because the mean of its divisors is an integer number (5193720).

Almost surely, 2115661216 is an apocalyptic number.

115661216 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 115661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280).

115661216 is an abundant number, since it is smaller than the sum of its proper divisors (133637344).

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

115661216 is a wasteful number, since it uses less digits than its factorization.

115661216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 115661216 is about 10754.5904617517. The cubic root of 115661216 is about 487.2246488878.

The spelling of 115661216 in words is "one hundred fifteen million, six hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 457 719 914 1438 1828 2876 3656 5027 5752 7312 7909 10054 11504 14624 15818 20108 23008 31636 40216 63272 80432 126544 160864 253088 328583 657166 1314332 2628664 3614413 5257328 7228826 10514656 14457652 28915304 57830608 115661216