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117000000 = 26325613
BaseRepresentation
bin1101111100101…
…00011101000000
322011011012211100
412332110131000
5214423000000
615335414400
72620324605
oct676243500
9264135740
10117000000
1160052917
1233224400
131b316590
14117786ac
15a411a00
hex6f94740

117000000 has 294 divisors, whose sum is σ = 451439534. Its totient is φ = 28800000.

The previous prime is 116999999. The next prime is 117000049. The reversal of 117000000 is 711.

It can be written as a sum of positive squares in 7 ways, for example, as 111007296 + 5992704 = 10536^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 12.

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 41 ways as a sum of consecutive naturals, for example, 8999994 + ... + 9000006.

Almost surely, 2117000000 is an apocalyptic number.

117000000 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 117000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225719767).

117000000 is an abundant number, since it is smaller than the sum of its proper divisors (334439534).

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

117000000 is an frugal number, since it uses more digits than its factorization.

117000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 117000000 is about 10816.6538263920. The cubic root of 117000000 is about 489.0973246509.

Adding to 117000000 its reverse (711), we get a palindrome (117000711).

The spelling of 117000000 in words is "one hundred seventeen million", and thus it is an aban number.