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116224640 = 275725943
BaseRepresentation
bin1101110110101…
…11001010000000
322002200211020022
412323113022000
5214223142030
615311033012
72610615230
oct673271200
9262624208
10116224640
115a673324
1232b0b768
131b10469c
1411615cc0
15a30bde5
hex6ed7280

116224640 has 64 divisors (see below), whose sum is σ = 317554560. Its totient is φ = 39846912.

The previous prime is 116224613. The next prime is 116224643. The reversal of 116224640 is 46422611.

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

It is not an unprimeable number, because it can be changed into a prime (116224643) by changing a digit.

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, 8492 + ... + 17451.

It is an arithmetic number, because the mean of its divisors is an integer number (4961790).

Almost surely, 2116224640 is an apocalyptic number.

116224640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116224640 is an abundant number, since it is smaller than the sum of its proper divisors (201329920).

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

116224640 is an equidigital number, since it uses as much as digits as its factorization.

116224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25969 (or 25957 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 116224640 is about 10780.7532204387. The cubic root of 116224640 is about 488.0145117963.

The spelling of 116224640 in words is "one hundred sixteen million, two hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 25943 51886 103772 129715 181601 207544 259430 363202 415088 518860 726404 830176 908005 1037720 1452808 1660352 1816010 2075440 2905616 3320704 3632020 4150880 5811232 7264040 8301760 11622464 14528080 16603520 23244928 29056160 58112320 116224640