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116744000 = 265314593
BaseRepresentation
bin1101111010101…
…01111101000000
322010200012122212
412331111331000
5214341302000
615330121252
72615210342
oct675257500
9263605585
10116744000
115a99854a
1233120228
131b256bb9
141170d292
15a3b0c35
hex6f55f40

116744000 has 56 divisors (see below), whose sum is σ = 289136328. Its totient is φ = 46694400.

The previous prime is 116743997. The next prime is 116744003. The reversal of 116744000 is 447611.

It is an interprime number because it is at equal distance from previous prime (116743997) and next prime (116744003).

It can be written as a sum of positive squares in 4 ways, for example, as 22886656 + 93857344 = 4784^2 + 9688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116744003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704 + ... + 15296.

Almost surely, 2116744000 is an apocalyptic number.

116744000 is a gapful number since it is divisible by the number (10) 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 116744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144568164).

116744000 is an abundant number, since it is smaller than the sum of its proper divisors (172392328).

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

116744000 is an equidigital number, since it uses as much as digits as its factorization.

116744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14620 (or 14600 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 116744000 is about 10804.8137420318. The cubic root of 116744000 is about 488.7403436060.

The spelling of 116744000 in words is "one hundred sixteen million, seven hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 14593 29186 58372 72965 116744 145930 233488 291860 364825 466976 583720 729650 933952 1167440 1459300 1824125 2334880 2918600 3648250 4669760 5837200 7296500 11674400 14593000 23348800 29186000 58372000 116744000