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116882000 = 245358441
BaseRepresentation
bin1101111011101…
…11101001010000
322010221012221222
412331313221100
5214410211000
615333104212
72616323564
oct675675120
9263835858
10116882000
115aa821a4
1233188068
131b2a4961
14117476a4
15a3dba85
hex6f77a50

116882000 has 40 divisors (see below), whose sum is σ = 282625512. Its totient is φ = 46752000.

The previous prime is 116881967. The next prime is 116882027. The reversal of 116882000 is 288611.

It can be written as a sum of positive squares in 4 ways, for example, as 414736 + 116467264 = 644^2 + 10792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1168820002 = 27322803848000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27221 + ... + 31220.

Almost surely, 2116882000 is an apocalyptic number.

116882000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116882000 is an abundant number, since it is smaller than the sum of its proper divisors (165743512).

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

116882000 is an equidigital number, since it uses as much as digits as its factorization.

116882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58464 (or 58448 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 116882000 is about 10811.1978984755. The cubic root of 116882000 is about 488.9328434616.

The spelling of 116882000 in words is "one hundred sixteen million, eight hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 58441 116882 233764 292205 467528 584410 935056 1168820 1461025 2337640 2922050 4675280 5844100 7305125 11688200 14610250 23376400 29220500 58441000 116882000