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116241664 = 287115897
BaseRepresentation
bin1101110110110…
…11010100000000
322002201200120211
412323123110000
5214224213124
615311243504
72611015660
oct673332400
9262650524
10116241664
115a6850a0
1232b19594
131b10c366
141161c1a0
15a311e94
hex6edb500

116241664 has 72 divisors (see below), whose sum is σ = 289332288. Its totient is φ = 45281280.

The previous prime is 116241637. The next prime is 116241673. The reversal of 116241664 is 466142611.

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, 16764 + ... + 22660.

It is an arithmetic number, because the mean of its divisors is an integer number (4018504).

Almost surely, 2116241664 is an apocalyptic number.

116241664 is a gapful number since it is divisible by the number (14) 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 116241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144666144).

116241664 is an abundant number, since it is smaller than the sum of its proper divisors (173090624).

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

116241664 is an equidigital number, since it uses as much as digits as its factorization.

116241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5917 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 116241664 is about 10781.5427467501. The cubic root of 116241664 is about 488.0383379358.

The spelling of 116241664 in words is "one hundred sixteen million, two hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 5897 9856 11794 19712 23588 41279 47176 64867 82558 94352 129734 165116 188704 259468 330232 377408 454069 518936 660464 754816 908138 1037872 1320928 1509632 1816276 2075744 2641856 3632552 4151488 5283712 7265104 8302976 10567424 14530208 16605952 29060416 58120832 116241664