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116823744 = 26321271597
BaseRepresentation
bin1101111011010…
…01011011000000
322010211021001100
412331221123000
5214401324434
615331534400
72615662002
oct675513300
9263737040
10116823744
115aa42454
123315a400
131b28429b
1411730372
15a3c9699
hex6f696c0

116823744 has 84 divisors (see below), whose sum is σ = 337702144. Its totient is φ = 38610432.

The previous prime is 116823743. The next prime is 116823767. The reversal of 116823744 is 447328611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116823699 and 116823708.

It is not an unprimeable number, because it can be changed into a prime (116823743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72354 + ... + 73950.

Almost surely, 2116823744 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 116823744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168851072).

116823744 is an abundant number, since it is smaller than the sum of its proper divisors (220878400).

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

116823744 is a wasteful number, since it uses less digits than its factorization.

116823744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1729 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 116823744 is about 10808.5033191465. The cubic root of 116823744 is about 488.8515991148.

The spelling of 116823744 in words is "one hundred sixteen million, eight hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 1597 2032 2286 3048 3194 4064 4572 4791 6096 6388 8128 9144 9582 12192 12776 14373 18288 19164 24384 25552 28746 36576 38328 51104 57492 73152 76656 102208 114984 153312 202819 229968 306624 405638 459936 608457 811276 919872 1216914 1622552 1825371 2433828 3245104 3650742 4867656 6490208 7301484 9735312 12980416 14602968 19470624 29205936 38941248 58411872 116823744