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116080000 = 27541451
BaseRepresentation
bin1101110101100…
…11110110000000
322002102110211021
412322303312000
5214204030000
615303555224
72606443441
oct672636600
9262373737
10116080000
115a584693
1232a5bb14
131b0838ba
14115b92c8
15a2ce11a
hex6eb3d80

116080000 has 80 divisors (see below), whose sum is σ = 289173060. Its totient is φ = 46400000.

The previous prime is 116079973. The next prime is 116080009. The reversal of 116080000 is 80611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116080009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79275 + ... + 80725.

Almost surely, 2116080000 is an apocalyptic number.

116080000 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 116080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144586530).

116080000 is an abundant number, since it is smaller than the sum of its proper divisors (173093060).

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

116080000 is an frugal number, since it uses more digits than its factorization.

116080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 116080000 is about 10774.0428809245. The cubic root of 116080000 is about 487.8119852623.

The spelling of 116080000 in words is "one hundred sixteen million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1451 1600 2000 2500 2902 3200 4000 5000 5804 7255 8000 10000 11608 14510 16000 20000 23216 29020 36275 40000 46432 58040 72550 80000 92864 116080 145100 181375 185728 232160 290200 362750 464320 580400 725500 906875 928640 1160800 1451000 1813750 2321600 2902000 3627500 4643200 5804000 7255000 11608000 14510000 23216000 29020000 58040000 116080000